Answer:
c
Step-by-step explanation:
Find the equation of the quadratic function whose graph is a parabola containing the points (0,2), (3,26), and (-1,6).
The equation of the quadratic function whose graph is a parabola containing the given points is y=
Answer: y = 3x^2 -x + 2
Step-by-step explanation:
A company has to buy computers and printers. Each computer, x, costs $560 and each printer, y, costs $340. If the company spends $6,540 and buys a total of 16 machines, how many of each did it buy?
Enter a system of equations to represent the situation, then solve the system.
The system of equations is __________ and ____________.
The company bought __________computers and _________printers.
Answer:
yrsdhhdjdbzbdvbs. Es 560
Cliff takes out a $5,000 personal loan with 7
fixed annual interest compounded monthly to pay for his wedding. He repays the loan in 2 year.s
How much total interest does Cliff pay on his loan?
Cliff pays a total interest of approximately $679.90 on his $5,000 loan.
To calculate the total interest paid on the loan, we need to use the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the final amount (loan amount + interest)
P is the principal (loan amount)
r is the annual interest rate (in decimal form)
n is the number of times interest is compounded per year
t is the number of years
Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:
P = $5,000
r = 7% = 0.07
n = 12 (monthly compounding)
t = 2 years
\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)
Calculating this expression:
A ≈ 5000\((1.00583)^{(24)\)
A ≈ 5000(1.13598)
A ≈ 5679.90
The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):
Total Interest = A - P
Total Interest = 5679.90 - 5000
Total Interest ≈ $679.90
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Allie is 26 years old. This is half of her
brother Alex's age, plus 5 years.
How old is Alex?
Answer:
18
Step-by-step explanation:
Which shows the solution set to the
inequality below?
2x+35-5
A. H
-5 -4 -3 -2 -1
0 1
++
2 3 4 5
-
B. +
HHHHHH
-5 -4 -3 -2 -1 0 1 2 3 4 5
C. HA
++++
-5 -4 -3 -2 -1 0 1
0 1 2 3 4 5
D.
-5 -4 -3 -2 -1
+++++
0 1 2 3 4 5
Answer:
The answer is C hope this can help you out!
What is the greatest prime you must consider to test whether 1103 is prime?
We start by checking the square root of 1103.
\(\sqrt[]{1103}=33.2\)The greatest prime that must be considered is the prime before 33.2
That is 31.
Therefore,
4. Jenny has 220 ounces of cleaning solution tha
she wants to divide equally among
12 large containers. How much cleaning solu
should she put in each container?4. Jenny has 220 ounces of cleaning solution that
she wants to divide equally among
12 large containers. How much cleaning solution
should she put in each container? And which one of the fraction
Answer:
18 1/3
Step-by-step explanation:
Divid interger 22 divided by 12 =1
mutiplyed 1 times 12 =12 then subtracct
write down 0 and divid interger 100 divod by 12 = 8
mutiply 8 times 12 = 96 then -
the remander is 4
Maths. a. 12.5g of medicine cost 1,075naira. What is the cost of 1g of medicine. b. What is the total pay for someone who works 42 hours and gets 645 naira per hour.
Answer: I Hope some one helps you out
Step-by-step explanation:Y
1 gram of medicine costs 86 nairas, while a 42-hour workweek results in a salary of 27,090 nairas.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given, 12.5g of medicine cost 1,075 nairas.
Since,
Cost of 12.5g medicine = 1075
Cost of 1 g medicine = 1075/12.5
Cost of 1 g medicine = 86 naira
Also given, Someone gets 645 nairas for one hour of work
the total pay for someone who works 42 hours = 645 * 42
the total pay for someone who works 42 hours = 27,090 nairas
therefore, the Cost of 1g of medicine is 86 nairas and the total pay for someone who works 42 hours is 27,090 nairas.
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ΔQRS is an isosceles triangle. What is the length of RT¯¯¯¯¯
R
T
? Round to the nearest hundredth. Enter your answer in the box.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22\)
You are preparing to buy a house. Your monthly gross income is $3,200. a. What is the maximum amount you can finance (mortgage)? (4 points)
The maximum amount you can finance is $896.
We are given that;
The monthly gross income = $3,200
Now,
28% of your gross monthly income on your mortgage, including taxes and insurance
The percentage = 28%
3200* 28/100
=32*28
=896
Therefore, by percentage the answer will be $896.
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Determine the slope.(-5,-4) and (7,-8)
Answer: the slope is -3
Step-by-step explanation:
(Pls see pic for the work)
The mean height of the students in a class is 152 cm. The mean height of boys is 158 cmwith a standard deviation of 5 cm. And the mean height of girls is 148 cm with a standarddeviation of 4 cm. Find the percentage of boys in the class and also the S.D of heights of allthe students in the class?
The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively
How to find the percentage of boys in the class?Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class
The given parameters that will help us to get the percentage are
Mean height of the class = 152 cm
Mean height of the boys = 158 cm
The standard deviation of the boys = 5 cm
Mean height of the girls = 148 cm
Standard deviation of the girls = 4 cm
(1) The percentage of boys in the class is
Total mean height = 158 +148 = 306
Percentage = 158/306 * 100 = 51.6%
Then the percentages 51.6/100 * 152 = 78%
(2) The total standard deviation of all the students
Boys + girls = 5+4 = 9 cm
Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively
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Sandro would like to retire at age 60 with an income of $1500 per month from his
retirement savings. If he is to receive these payments until he is 90 years old, what
amount would he need in his retirement savings account at age 60, if the account
earns 4.5% compounded monthly?
The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.
How the present value is computed:The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.
End of withdrawal period = 90 years old
Beginning of withdrawal period = 60 years old
The number of years between 60 and 90 = 30 years
N (# of periods) = 360 months (30 years x 12)
I/Y (Interest per year) = 4.5%
PMT (Periodic Payment) = $-1,500
FV (Future Value) = $0
Results:
Present Value (PV) = $296,041.74
Sum of all periodic payments = $540,000 ($1,500 x 360 months)
Total Interest = $243,958.26
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I NEED THE ANSWERS PLZ
Answer:
1. 32
2. 4.7
3. 3
Step-by-step explanation:
4*8=32
6.5-1.8= 4.7
18/6=3 or 18 divided by 6 = 3
On a shelf at a gaming store, there are five Sony Playstations and three Nintendo Wii consoles left. If one gaming system is selected at random, find the probability that the system is a Wii console.
Step-by-step explanation:
a probability is always desired cases over total possible cases.
so, we have actually 8 systems (5 + 3) we can pick from.
therefore, the total possible cases are 8.
the desired case is in this question to pick one of the 3 Wii consoles.
the probability to pick a Wii is therefore
3/8 = 0.375
Answer:
3/8, or 37.5%
Step-by-step explanation:
There are 8 different playing devices there.
There are only 3 Nintendo Wii consoles.
So, the probability is 3/8
"An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $20.3 for a random sample of 2333 people. Assume the population standard deviation is known to be $11.3. Construct the 98% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place."
Answer: ($19.8, $20.8)
Step-by-step explanation:
Confidence interval for mean : \(\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}\) , where \(\overline{x}\) = Sample mean, n= sample size, \(\sigma\) = population standard deviation, z* = two tailed critical z-value.
Given: \(\overline{x}\) = $20.3
n= 2333
\(\sigma\) = $11.3
For 98% confidence, z* = 2.326
Then, the98% confidence interval for population mean will be:
\(20.3\pm (2.326)\dfrac{11.3}{\sqrt{2333}}\\\\=20.3\pm (2.326)\dfrac{11.3}{48.3011387}\\\\=20.3\pm (0.544165224825)\\\\\approx 20.3\pm 0.5\\\\=(20.3-0.5,\ 20.3+0.5)\\\\=(19.8,20.8)\)
Hence, the 98% confidence interval for the mean per capita income in thousands of dollars = (19.8, 20.8)
Question 3(Multiple Choice Worth 3 points)
(01.04 LC)
Which of the following expressions is equivalent to 2x +4? (The x+4 is to the power of x)
A) 8(2) ^x
B) 2^x/8
C) 16(2)^x
D) 2^x/16
The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)
Which expression is equivalent to the expressionFrom the question, we have the following parameters that can be used in our computation:
2ˣ⁺⁴
The above expression is an exponential expression with the following properties
Base = 2Exponent = x + 4When the above expression is expanded, we have
2ˣ⁺⁴ = 2ˣ * 2⁴
Evaluate the expression 2 exponent 4
So, we have the following representation
2ˣ⁺⁴ = 2ˣ * 16
Rewrite as follows
2ˣ⁺⁴ = 16 * 2ˣ
This gives
2ˣ⁺⁴ = 16(2ˣ)
Hence, the expression that is equivalent to the expression is 16(2ˣ)
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Michelle wants to borrow $4,500. Bank A will lend
Michelle the money at a simple annual interest rate of 9%
for 6 years. Bank B will lend her the money at 11% for 4
years. Which bank would charge Michelle the least
Answer:
So bank B would charge the least amount of interest.
Step-by-step explanation:
Calc II Question
Find the volume of the solid obtained by rotating the region bonded bt the given curves about the specified line.
Y = In x
Y = 1
Y = 2
X = 0
About the Y axis
wants to tile the surface of a rectangular storage case that is inches long, inches wide, and inches tall. If he uses all green tiles, how many tiles will he need?
The surface area of the rectangular prism is 396 square inches
He will need 504 tlles
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
7 in by 12 in by 6 in
The surface area of the rectangular prism is calculated as
Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)
Evaluate
Area = 396
Hence, the area is 396 square inches
The number of tiles is 7 * 12 * 6 = 504
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Question
wants to tile the surface of a rectangular storage case that is 7 inches long, 12 inches wide, and 6 inches tall. If he uses all green tiles, how many tiles will he need?
in a right triangle ABC,angleB=90°
(a) If AB=6cm,BC=8cm find AC
(b) if AC=13cm,BC=5cm find AB
Step-by-step explanation:
hypotenuse =
\( \sqrt{a {}^{2} + b {}^{2} } \)
Please answer this correctly
Answer:
Area of the figure = 224 yd²
Step-by-step explanation:
Area of Rectangle = Length × Width
Area of Δ = 1/2 (base × height)
Dividing the whole figure
Triangle 1:
1/2(12 × 14) = 168/2 = 84 yd²
Rectangle 1:
3 × 11 = 33 yd²
Rectangle 2:
7 × 9 = 63 yd²
Rectangle 3:
4 × 11 = 44 yd²
Adding all
Area of the figure = 84 +33 +63 + 44
Area of the figure = 224 yd²
Answer:
Total area = 224 yd²
Step-by-step explanation:
Make a sketch. See attachment
Total area =
area 1 + area 2 + area 3 + area 4 + area 5 + area 6 + area 7
15 + 84 + 42 + 32 + 7 + 28 + 16
Total area = 224 yd²
6. Which of the following strategies can
help you solve 4 x 6? Select all that
apply.
(6x6) + (6 x 6)
(4 x 3) + (4 x 3)
(5x5)+(4x 1)
(5x4) + (1x4)
(2x4) + (2x6)
Answer:
(4x3) + (4x3) and (5x4) + (1x4)
Step-by-step explanation:
When you multiply 4 by 3 you get 12. And 12 + 12 is 24. 4 x 6 is 24 so then that is an answer. And 5 by 4 is 20 and 1 x 4 is 4 you add them you get 24.
7. William wrote a check for $150.00 for his gas bill, but he only has 96.26 in his checking account. What will happen to the check when it is presented for payment? *
Answer:
-$53.74
Step-by-step explanation:
96.26 - 150.00 = -53.74
What is the slope of y-5= 3x + 4?
Answer:
x=53
y=19
Step-by-step explanation:
3x + y-5
3(5)=15
15+y
Find the area of a square with sides of length 1 /3 yard. pls help
Answer:
1/9 yards ^2
Step-by-step explanation:
\(\frac{1}{3}^2 =\\\frac{1}{3} * \frac{1}{3}=\\\frac{1}{9}\)
Triangle. A)6× b) 8× c) 6×
Answer:
288
Step-by-step explanation:
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Plzz help will mark brainleast
2)
1,700 gallons for 3 pumps
Divide 1,700 by 3 and we get what one pump does; 566 \(\frac{2}{3}\)
We need 5,500 gallons, so we can divide by 566 \(\frac{2}{3}\) for an answer of about 6.4782. You cannot have half of a pump, so our answer is 7 pumps.
3)
\(\frac{7fragments}{500tons} = \frac{100}{x}\)
Cross multiply:
7 times x = 7x
500 times 100 = 50,000
50,000 = 7x
Divide both sides by 7:
7,142 tons of gravel = x
4)
Dozen = 12
12 divided by 3 (number of eggs) = 4
4 (batches you could make) times 4 (cookies made) = 16
So you could make 16 dozen cookies with a dozen eggs
I hope this helps, have a nice day :D
Hopefully you can read what the fractions say, they are formatted weird xD
Latesha justifies whether the expression 4x – 3 is equivalent to one-half (4 x minus 6) minus 2 x (1 minus 3) by letting x = 2 in both expressions. which values should latesha compare to justify whether the expressions are equivalent? 2 and 5 5 and 9 5 and 5 9 and 9
Answer:
5 and 9
Step-by-step explanation:
Answer:b
Step-by-step explanation: took the test
2 plus five-sevenths of x gives 27
Answer:
x = 35
2 plus five-sevenths of 35 gives 27
Answer:
x = 35
Step-by-step explanation:
Equation:-
2 + 5x/7 = 27
=> 5x/7 = 27 - 2
=> 5x/7 = 25
=> x = 25 x 7 / 5
=> x = 35