Eight years after opening her savings account, Macy had $7,880 in the account which earns annual simple interest. If Macy started with $5,000 in her account and did not make any additional deposits or withdrawals, what was the approximate annual interest rate on the savings account?
Answers
The principal amount of $5,000 deposited for 8 years with simple interest gives amount $7,880 at the annual interest of 7.2%.
Total amount 'A' in the Macy account after 8 years = $7,880
Time 't' = 8 years
Principal amount 'P' = $5,000
Let 'r' be the rate of interest given in saving account with annual simple interest.
Simple interest = Amount - Principal
= $7,880 - $5,000
= $2,880
Simple interest = ( P × r × t ) / 100
Substitute the value we get,
⇒ $2,880 = ( 5,000 × r × 8 ) / 100
⇒ r = ( 2,880 × 100 ) / ( 5,000 × 8 )
⇒ r = 7.2%
Therefore, the annual interest rate for the given amount as per simple interest is equal to 7.2%.
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Related Questions
find hcf of 3x²+7x-6 and 2x²+7x+3
Answers
Given:
The expression are:
\(3x^2+7x-6\)
\(2x^2+7x+3\)
To find:
The HCF of the given expression.
Solution:
We have,
\(3x^2+7x-6\)
\(2x^2+7x+3\)
The factor form of given expressions are:
\(3x^2+7x-6=3x^2+9x-2x-6\)
\(3x^2+7x-6=3x(x+3)-2(x+3)\)
\(3x^2+7x-6=(x+3)(3x-2)\)
Similarly,
\(2x^2+7x+3=2x^2+6x+x+3\)
\(2x^2+7x+3=2x(x+3)+1(x+3)\)
\(2x^2+7x+3=(x+3)(2x+1)\)
From the factor forms it is clear that the factor \((x+3)\) is common.
Therefore, the HCF of given expressions is \((x+3)\).
Find the selling price of a $10 item after a 40% markup.
The selling price is $
Answers
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 10}}{\left( \cfrac{40}{100} \right)10}\implies 4~\hfill \underset{ selling~price }{\stackrel{ 10~~ + ~~4 }{\text{\LARGE 14}}}\)
what is the taxicab distance formula between 7,5 and 8 ,6
Answers
The taxicab distance formula between two points (x1, y1) and (x2, y2) is expressed as
distance = Ix1 - x2I + Iy1 - y2I
From the information given,
x1 = 7, y1 = 5
x2 = 8, y2 = 6
Distance = I7 - 8I + I5 - 6)
Distance = I- 1I + I- 1I = 1 + 1
Distance = 2
CORRECT ANSWER WILL GET BRAINLIEST
You install 638 feet of fencing along the perimeter of a rectangular yard. The width of the yard is 152 feet. What is the length of the yard?
Answers
Answer:
the answer is 486
Step-by-step explanation:
Consider the points below. P(θ),−4,0),Q(5,1,−2),R(6,4,1) (a) Find a nonzero vector orthogonal to the plane through the points P,Q, and R. (b) Find the area of the triangle PQR.
Answers
(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.
(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:
PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)
PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)
Taking the cross product of PQ and PR, we have:
n = PQ x PR = (9, 1, -2) x (10, 4, 1)
Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.
(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:
|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)
Evaluating the magnitude gives |n| = \(\sqrt\)(811).
The area of triangle PQR is then:
Area = |n| / 2 = \(\sqrt\)(811) / 2.
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What percent of fans voted for Batgirl?
10%
15%
16%
34%
Answers
a company dyes two sizes of rugs a small rug requires 8 hours for dyeing and a medium-sized rug requires 12 hours of dyeing the dryers have to make at least 22 guys ansld that must do it in less than 240 hours let x equal small rugs abd u equal medium rugs state a possible ordered pair solution for the system of inequalities justify mathematically using both inequalities
Answers
Answer:
C says 8x+12y, but D says 12x+8y, instead of 8x and 12y. The correct answer is C, I guess
Step-by-step explanation:
Let x=small rugs and y=medium rugs. It takes 8 hours to dye a small rug, so you would write 8x. It takes 12 hours to dye a small rug, so you would write 12y. Those two would need to be added together. The dyer needs to dye at least 22 rugs in 240 hours, so you would need a less than or = to sign.
I'm not sure which choice has the line beneath, indicating that the sign is a "less than or equal to" sign, but the answer is gonna be either C or D.
8x+12y≤240, or 12y+8x≤240
Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. Show all work.
A) 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = 4(4n+1)(8n+7)/6
B) 1^2 + 4^2 + 7^2 + ... + (3n - 2)^2 = n(6n^2 - 3n - 1)/2
For the given statement Pn, write the statements P1, Pk, and Pk+1.
C) 2 + 4 + 6 + . . . + 2n = n(n+1)
Answers
Answer:
34v
544
888
00-
9-
A rectangle has a width of (2x+3) and a length of (4x-1).
Write an
expression to represent the perimeter.
Answers
Answer:
so...
Step-by-step explanation:
Answer:16x I think
Step-by-step explanation:
What is the ratio of their side lengths ? a. 1/27 b. 3/27 c. 1/9 d. 1/3
what is the ratio of their surface areas ? a. 1/27 b. 3/27 c. 1/9 d. 1/3
Answers
To answer this question, we need to know what figures we are comparing. Without this information, we cannot determine the ratios of the side lengths or surface areas. However, assuming that we are comparing two similar figures, we can say that the ratio of their side lengths will be equal to the scale factor between them.
For example, if one figure is twice the size of the other, then the ratio of their side lengths will be 2:1. Similarly, the ratio of their surface areas will be equal to the square of the scale factor between them. For example, if one figure is twice the size of the other, then the ratio of their surface areas will be 4:1. Therefore, without more information about the figures being compared, we cannot determine the exact ratios of their side lengths or surface areas.
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1 1/3 divided by 40 by using the algorithm method
Answers
Problem
1 1/3 divided by 40 by using the algorithm method
Solution
For this case we can do this first:
\(1\frac{1}{3}=\frac{1\cdot3+1}{3}=\frac{4}{3}\)And then we can divide this number by 40 like this:
\(\frac{4}{3}\cdot\frac{1}{40}=\frac{4}{120}=\frac{2}{60}=\frac{1}{30}\)According to the rational root theorem which of the following are possible roots for the function below x^4-29x^2+100
Answers
Hello,
The rational roots may be all divisors of 100
+1,-1,+2,-2,+4,-4,+5,-5,+10,-10,+20,-20,+25,-25,+50,-50,+100,-100
f(x)=x^4-29x^2+100
f(5)=5^4-29*5^2+100=0 : 5 is a root
f(-5)=(-5)^4-29*(-5)²+100=0 : -5 is a root
f(2)=2^4-29*2²+100=0 : 2 is a root
f(-2)=(-2^)^4-26*(-2)²+100= 0 : -2 is the last root.
In the expression - 3 ( 5 + 2a )
we have to multiply -3 times 5
and we have to multiply -3 times 2a. True
false
-15 + 2a
cannot be done
Answers
True, the expression simplifies to -15 - 6a.
In the expression -3(5 + 2a), we need to apply the distributive property of multiplication over addition. This means multiplying -3 by both 5 and 2a individually.
-3 times 5 is -15.
-3 times 2a is -6a.
In the expression -3(5 + 2a), we need to simplify it by applying the distributive property.
The distributive property states that when we have a number outside parentheses multiplied by a sum or difference inside the parentheses, we need to distribute or multiply the outer number with each term inside the parentheses.
So, in this case, we start by multiplying -3 with 5, which gives us -15.
Next, we multiply -3 with 2a. Since multiplication is commutative, we can rearrange the expression as (-3)(2a), which equals -6a.
Therefore, the original expression -3(5 + 2a) simplifies to -15 - 6a, combining the terms -15 and -6a.
It's important to note that this simplification is possible because we can perform the multiplication operation according to the distributive property.
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Find the equation of a line containing the given points. Write the equation in slope-intercept form (-2, -5) and (-5, -8)
Answers
Answer
\(y=x-3\)Explanation
The equation in slope-intercept form is:
\(y=mx+b\)where m is the slope and b is the y-intercept.
Additionally, the slope m can be calculated using the change between two points as it is a line and will be the same in all points:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Considering the two points given, we can assume that point one is (-2, -5) and point two is (-5, -8). Replacing these values we get:
\(m=\frac{-8-(-5)}{-5-(-2)}\)Simplifying:
\(m=\frac{-8+5}{-5+2}=\frac{-3}{-3}=1\)Then, replacing the slope calculated in the equation we get:
\(y=(1)x+b\)Next, we have to choose one of the given points to replace in the equation and solve for b. For example, choosing (-2,-5):
\(-5=(1)(-2)+b\)\(-5=-2+b\)\(b=-5+2\)\(b=-3\)Finally, our equation is:
\(y=x-3\)20 points!!
Riley needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $92 for parts. The total was $272. Which equation could be used to determine x, the cost of labor per hour?
A. 92x = 272 - 4
B. 272 - 92/4 = x
C. x = 92 - 272/4
D. 92x + 4 = 272
Answers
The equation could be used to determine x, the cost of labor per hour is
92x + 4 = 272. Option D
Which equation could be used to determine x, the cost of labor per hour?The equation reads as follows: 4x plus 77 equals 497, where 4x stands for the cost of labor per hour, 77 for the cost of the components, and 497 for the overall sum.
Generally, the equation for the expression is mathematically given as
4x + 92 = 272
4x + 92-92 = 272 - 92
4x = 180
x = 45
In conclusion, The equation could be used to determine x,
x = 45
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Plz help timed test I’ll give extra points
Answers
Answer:
am not really sure but ig the answer is B
Step-by-step explanation:
Plz help timed test I’ll give extra points
I need help with this problem
Answers
...................
The rectangles in each pair are similar. Find the unknown measures
Answers
I need help on this two step equation 42=
\,\,-\frac{x}{7}+29
−
7
x
+29
Answers
Answer:
x = 56/25
Step-by-step explanation:
Find the slope of the lines
Answers
Answer:
m= 2/3
Step-by-step explanation:
slope = rise/run
The Central Limit Theorem is important in Statistics because it allows us to use the normal distribution to make inferences concerning the population mean: O provided that the population from which the sample was drawn is normal and the sample size is reasonably large. O provided that the population size is reasonably large (whether the population distribution is known or not). O provided that the sample size is reasonably large (for any population). o provided that the population from which the sample was drawn is normal.
Answers
The correct statement is: provided that the sample size is reasonably large (for any population).
Why the statement provided that the sample size is reasonably large is correct?The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.
These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).
Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.
This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters
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Which sign makes the statement true? 2 5/8 ? 2/5
Answers
The sign that makes the statement true is 2 5/8 > 2/5.
What sign makes the statement true?A fraction is a non integer that consists of a numerator and a denominator. A mixed fraction is a number that has a whole number and a proper fraction. An example of a mixed fraction is 2 5/8. A proper fraction is a fraction is which the numerator is less than the denominator. An example of a proper fraction is 5/8.
2 5/8 is greater than 2 /5. The inequality sign that is used to represent greater than is >. In order to determine the difference between the fraction, subtract 2/5 from 2 5/8.
Subtraction is the mathematical operation that is used to determine the difference between two or more numbers. The sign that is used to represent subtraction is -.
Difference in the fractions
\(2\frac{5}{8} - \frac{2}{5}\)
\(2\frac{25 - 16}{40}\) = \(2\frac{9}{40}\)
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14) The following information pertains to a $5 scratch ticket from the Texas lottery. Generate a probability
distribution for the prizes in this game. There are approximately 7,320,300 tickets in this game.
Answers
Probability of getting a particular number on ticket = 1/7320300
Describe the probability distribution.Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, if we are unclear of how an event will turn out. Statistics is the study of occurrences subject to probability.
The following values of x: 100000, 1000, 500, 100, 75, 50, 20, 15, 10, 5
Their corresponding values of p(x) are 1/7320300, 1/7320300, 1/7320300, 1/7320300, 1/7320300, 1/7320300, 1/7320300, 1/7320300,
Expected Each lottery ticket's winnings are calculated as follows: (100000+1000+500+100+75+50+20+15+10+5)(1/7320300) = 101775/7320300 = 0.014 $.
But he does purchase a $5 ticket.
In other words, the Net Expected Value of Money is equal to 0.014 - 5 = -4.986 $.
due to the negative anticipation. There are therefore greater chances for failure. The predicted loss is $4.986.
Probability of getting a particular number on ticket = 1/7320300
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find the mean value of the following. 5, 11, 4, 10, 8, 6
Answers
44/6 = 7.33….
answer: 7.33…..
Neil bought 2 pounds of beef. He wants to make hamburger patties that weigh 1/4 pound each. How many patties can Neil make
Answers
Answer: 8 patties
Step-by-step explanation:
There are 2 pounds of beef and Neil wants to use these to make patties that are 1/4 pounds each.
The number of patties that can be made are:
= Pounds of meat available ÷ Pound needed per patty
= 2 ÷ 1/4
= 2 * 4/1
= 8 patties
A clay specimen, 25 mm thick, has been tested in an oedometer apparatus with two way rainage, and it is observed that 50% of the consolidation settlement occurs in 1 hour. A ayer of the same clay is observed to settle 10 mm in 10 years and after many years to settle (total primary consolidation) by 35 mm. Determine the thickness of the clay layer if it drains only from upper surface
Answers
The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.
The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.
Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.
Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.
To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.
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-3+4b=3(b-2)
what do I have to do slove both sides
Answers
Answer:
b=-3
Step-by-step explanation:
distribute 3(b-2) and you get 3b-6.
-3+4b=3b-6
add 3 on both sides.
4b=3b-3
-3b on both sides
b=-3
If you multiply a number by 3 and divide by 4, the result is 24. What is the number?.
Answers
Answer:
32
Step-by-step explanation:
This is the step by step explanation
32×3=96
96÷4=24
9) Find the equation of a mirror line to the points Q (1,2) and Q1 (-1,2)
Answers
Answer:
x = 0
Step-by-step explanation:
Q(1, 2 ) and Q1(- 1, 2 ) are both 1 unit from the y- axis
Q is 1 unit to the right of the y- axis and Q1 is 1 unit is 1 unit to the left of the y-axis, thus
The y- axis is the mirror line with equation x = 0
Can u guys PLEASE answer this question ASAP.
THIS IS EXTREMELY URGENT
Answers
Answer:its upside down sir
Step-by-step explanation: