Answer:
x = number of quarters = 25
y = number of dimes = 15
Step-by-step explanation:
Let
x = number of quarters
y = number of dimes
1 dime = $0.10
1 quarter = $0.25
x + y = 40 (1)
0.25x + 0.10y = 7.75 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
0.25x + 0.10y = 7.75 (2)
0.25(40 - y) + 0.10y = 7.75
10 - 0.25y + 0.10y = 7.75
- 0.25y + 0.10y = 7.75 - 10
-0.15y = -2.25
y = -2.25/-0.15
y = 15
Substitute y = 15 into (1)
x + y = 40 (1)
x + 15 = 40
x = 40 - 15
x = 25
x = number of quarters = 25
y = number of dimes = 15
Total quarters = 25 × $0.25
= $6.25
Total dimes = 15 × $0.10
= $1.5
Gerald bought a computer on the installment plan. The price was $1,560. He paid $82 a month for 24 months
What did Gerald pay in finance charges?
O $310
O $408
O $456
O $620
Answer:
$408
Step-by-step explanation:
Find the volume of this sphere.
Use 3 for TT.
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Very sry to tell that I really don't know it...
The length of a rectangle is 6 yards more than 8 times the width. The perimeter is 102 yards. Find the length and width.
•show work/steps!!
•any links/wrong answers will be reported
It costs a homeowner $4.00 to rent a set of hand tools, plus an additional
$2.00 per hour for the rental. The function that models the cost, c, of renting
tools for h hours is c = 2h + 4.
On a piece of paper, graph the function. Then determine which answer choice
matches the graph you drew.
Answer:
The correct graph answer is A.
Step-by-step explanation:
Let
c ----> the total cost to rent a set of hand tools
h ----> the number of hours for the rental
we know that
The linear equation that represent the problem is equal to
---> this is the equation of the line into slope intercept form
where
the slope m is equal to
m=$2 per hour
b=$2 ---> the y-intercept (the value of c when the value of h is equal to zero)
therefore
The correct graph is A.
B. C. and D. are incorrect
is 8/3 a rational number
Answer:
Yes, it is a rational number
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Hope it is helpful....Help!! Stuck on math problem!
Fast answers are appreciated, thanks :)
The graph of the function has a vertical asymptote of x = ______
The graph of the function has a horizontal asymptote of y = ______
Today is your 10th birthday, and you decide to start saving for your college education. You will begin college on your 20th birthday and will need to pay ksh144,000 at beginning of first in a 4- year program. Fees will increase at inflation rate of 10% per year. You will make a deposit 1 year from today in an account paying 12% (percent) annually and continue to make an identical deposit each year up to and including the year you begin college. What should be the size of your deposit?
Answer:
The size of your deposit should be $13,023.92.
Step-by-step explanation:
First, the real interest has to be calculated using the following formula:
r = [(1 + i) / (1 + inf)] - 1 ..................... (1)
Where;
i = market interest rate = Interest rate on the account = 12%, or 0.12
r = real interest rate = ?
inf = inflation rate = 10%, or 0.10
Substituting the values into equation (1) and solve for r, we have:
r = [(1 + 0.12) / (1 + 0.10)] - 1 = 0.0181818181818183
Since you will need to pay ksh144,000 at beginning of first in a 4- year program, this implies that the relevant to use in calculating the size of the deposit is the formula for calculating the Future Value (FV) of an Annuity Due as follows:
FV = P * (((1 + r)^n - 1) / r) * (1 + r) ................................. (2)
Where,
FV = Future value or the amount needed to pay on the 20th birthday = ksh144,000
P = Fixed annual payment or size of the deposit = ?
r = real interest rate = 0.0181818181818183
n = number of years = 20 - 10 = 10 (Since you will make a deposit 1 year from today annually and continue to make an identical deposit each year up to and including the year you begin college.)
Substituting the values into equation (2) and solve for P, we have:
144,000 = P * (((1 + 0.0181818181818183)^10 - 1) / 0.0181818181818183) * (1 + 0.0181818181818183)
144,000 = P * 10.8591414092614 * 1.0181818181818183
144,000 = P * 11.0565803439752
P = 144,000 / 11.0565803439752
P = $ 13,023.92
Therefore, the size of your deposit should be $13,023.92.
What is the chance of landing on a section that is NOT red when spinning the spinner below?
- 25%
- 75%
- 6/8
- 2/8
Answer:
75%
Step-by-step explanation:
There are 8sections. Each section carries 12.5%. There are two red sections which carries 12.5*2=25%. Hence the chance is 75%.
a cylinder has a height of 50 cm and a diameter of 10 cm calculate the surface area of the cylinder if it is closed
the area of the cylinder is 500 cm
Given the diagram below, what is son (30)
Sin (30) = 1/2
Option B is the correct answer.
Step-by-step explanation:
[tex] \sin(30) = \frac{1}{2} [/tex]
Will give BRAINLIEST to the correct answer!!!
Find the values of sin 0, cos 0, and tan 0 for the given right triangle. Give the exact values.
Answer:
the length of adjacent =√25²-24²=√49=7
sin 0 = 24/25
cos 0 = 7/25
tan 0 = 24/7
someone please help me!! will mark brainliest :)
Answer:
hi
Step-by-step explanation:
i'll happy to help you but there isn't question
have a nice day
Answer:
If you make another question, with the picture, i will help you!
Step-by-step explanation:
Have a nice day/night!
5 3 Divide: 3 4
[tex] \frac{5}{?8 \div \frac{3}{?4} } [/tex]
Answer:
Step-by-step explanation:
x
ITS URGENT! PLEASE HELP!
Answer:
x = -3 b no answer is 1/27000
Step-by-step explanation:
Hi, I need help with this question. Here is the question: For which data set is the median greater than the mean?
(1) { 4,7,10,13,16} (3) {8,9,10,11,12}
(2) {8,9,10,18,19} (4) {1,2,10,11, 12}
Please give me the answer(the method used for this problem) and an explanation.
Answer:
Set 2
Step-by-step explanation:
First find the median of each set (the median being the number in the middle):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 10
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 10
Then find the mean of each set (the mean being average of all the numbers, to find the average add up all the numbers and divide by the amount of numbers):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 12.8
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 7.2
the answer being 12.8 since 12.8 is greater than 10
(4) {1,2,10,11, 12}
Answer:
Solution given:
1:
{ 4,7,10,13,16}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={ 4+7+10+13+16}/{5}=10
(2)
{8,9,10,18,19}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={8+9+10+18+19}/{5}=12.8
3) {8,9,10,11,12}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={8+9+10+11+12}/{5}=10
(4) {1,2,10,11, 12}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={1+2+10+11+13}/{5}=7.4
In above
1: mean=median
2:mean>median
3:mean=median
4:mean<median
so median is greater than mean is in 4th one.
(4) {1,2,10,11, 12}
Two runners start from the same point at the same time. They will be 4 miles apart at the end of two hours if running in the same direction, and they will be 16 miles apart at the end of one hour if running in opposite directions. Find their speeds.
Answer:
runner 1 runs with 9 miles / hour
runner 2 runs with 7 miles / hour
Step-by-step explanation:
x = speed of runner 1
y = speed of runner 2
2 hours × (x miles / hour) - 2 hours × (y miles / hour) = 4 miles
2x - 2y = 4
x - y = 2
x = y + 2
1 hour × (x miles / hour) + 1 hour × (y miles / hour) = 16
x + y = 16
y + 2 + y = 16
2y + 2 = 16
2y = 14
y = 7 miles / hour
x = y + 2 = 9 miles / hour
Which of the following correlation coefficients would represent the strongest correlation? -0.9 -0.16 0.04 .78
Answer:
0.4 would represent the strongest correlation.
Step-by-step explanation:
Generally, a value of r greater than 0.7 is considered a strong correlation. Anything between 0.5 and 0.7 is a moderate correlation, and anything less than 0.4 is considered a weak or no correlation
Green paint is made by mixing yellow and blue. white paint in the ratio 2:7 . how much blue paint is needed to make 64 liters of green paint
Answer:
Green paint is made by mixing blue, yellow and white paints in the ratio 2 : 7 : 1. How much blue paint is needed to make 64 litres of green paint? Therefore, the required blue paint = 12.8 litres
Step-by-step explanation:
Please answer 8,9, and 10!!
Answer:
260,
43.73,
34.28
Step-by-step explanation:
8. Triangle's base is 10, height 4.
10 * 4 = 40
40/2 = 20
24 * 10 = 240
240 + 20
= 260
9. Radius 3.
πr²
9π
12 * 6 = 72
72 - 9π
≈43.73
10. Semicircle has a radius of 2.
2²π
4π
4π/2 = 2π
≈6.28
6.28 + 28 = 34.28
≈34.28
8. It has Triangle embedded to a Rectangle
Area of Figure =Area of Triangle + Area of Rectangle
Area of Triangle = ½ base x height
= ½ x 10 x 8 =40
Area of Rectangle= 24 x 10 =240
TOTAL AREA OF FIGURE = 240 + 40 = 280
9.
Its a rectangle with a Circle in the Middle
Area of Shaded Region would be
Area of Rectangle – Area of circle
Area of Rectangle = 12 x 6 =72
Area of Circle = πr² = π x 3² = 28.27
AREA OF SHADED REGION= 72 - 28.27
=43.73in².
10.
The shape contains a semicircle on a rectangle
Area of the shape = Total Surface Area of semicircle + Area of a Rectangle
Total Surface Area of a semi circle=2πr²
Diameter was given = 4cm
Radius = Diameter/2 = 4/2 = 2cm
= 2 x π x 2² = 25.13cm²
Area of rectangular part = 4 x 7 =28cm²
AREA OF FIGURE = 25.13 + 28 =53.13cm².
Pls notify me if there are any Mistakes.
Have a great day!
PLEASE HELPPPPPPPPPPPPPPPPPPPP ME
Answer:
Step-by-step explanation:
We can use a proportion to solve this problem
26.5 : 100 = x : 7600
x = (26.5 * 7600)/100 = $2014 (increase in dollars)
Year - end amount = 7600 + 2014 = $9614
High population density can cause increases in competition for resources, such as food and shelter. The table shows the number of zebras living in four different regions.
A 3-column table has 4 rows. The first column has entries Region A, Region B, Region C, Region D. The second column is labeled Population of Zebras with entries 1,312, 630, 16,400, 17,800. The third column is labeled Area (kilometers squared) with entries 212, 314, 625, 902.
In which region is competition for resources most likely the greatest?
Region A
Region B
Region C
Region D
Answer: C. Region C
Step-by-step explanation: Done on edge! Hope this helps!
Help please I’ve been stuck here for hours on this problem would really appreciate it so much. Can’t figure out those two blanks
he tables for f(x) and g(x) are shown below.
x
f(x)
–5
–11
–2
1
1
13
5
29
x
g(x)
–5
–7
–2
–1
1
5
5
13
What is the value of (f – g)(5)?
–18
–4
16
42
Answer:
[tex](f - g)(5) = 16[/tex]
Step-by-step explanation:
Given
See attachment for tables
Required
[tex](f - g)(5)[/tex]
This is calculated as:
[tex](f - g)(5) = f(5) - g(5)[/tex]
From the table, we have:
[tex]f(5) = 29;\ \ g(5) = 13[/tex]
So:
[tex](f - g)(5) = 29 - 13[/tex]
[tex](f - g)(5) = 16[/tex]
Answer:
Keep it simple: 16
Step-by-step explanation:
10 points!!!!!
1-16 please finish quickly
the question is blurry for me take a picture of that again
Jude arrived at work 7:55 am and left at 4:15pm . For how long was he at work
Answer:
500 minutes= 8.33 hr
Step-by-step explanation:
The number of hours that he works will be 8 hours and 20 minutes.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Jude arrived at work at 7:55 am and left at 4:15 pm.
Convert the time into 24 hours system. Then we have
4:15 pm = 16: 15
7:55 am = 7: 55
Then the number of hours is given as,
16: 15
- 7: 55
8: 20
Then the number of hours that he works will be 8 hours and 20 minutes.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Which inequalities are true? Select the four correct answers.
0< √8
√8 <3
√8 >√7
√8 < 2
√8 >8
1< √8
Answer:
Step-by-step explanation:
True
True
True
False
False
True
Can someone please answer this I’ll give brainliest
Answer:
Step-by-step explanation:
If you look at the diagram, you notice there are two triangular bases and three rectangular faces.
Therefore, the surface area, or the total area of all the bases and faces, would be the area of one triangular base multiplied by 2 and the area of each rectangular face
area of triangle = (1/2)*height*base
area of triangular base = (1/2)*15*28 = 210 cm^2
area of rectangle = base*height
area of rectangular face #1 = 25*30 = 750 cm^2
area of rectangular face #2 = 17*30 = 510 cm^2
area of rectangular face #3 = 28*30 = 840 cm^2
total surface area = 2*210 + 750 + 510 + 840 = 2520 cm^2
differentiate between interest and interest rate
Answer:
Interest:Interest is the cost of borrowing money, and the money you earn from your savings.
Interest rateInterest rates indicate this cost or return as a percentage of the amount you are borrowing or lending (since you are “lending” your savings to the bank)
❤◍ jess bregoli ◍❤#keep learning!!
a=7 c=25 b=? plz help
Answer:
b=24
Step-by-step explanation:
b= [tex]\sqrt{a^{2}-x^{b} }[/tex]
1. Brad spent $1,200 on a credit card this
month. The credit card charges 24.77%
interest compounded continuously. If
Brad does not have to pay any monthly
minimums and makes no payments, how
long will it take until Brad owes the
credit card company $2,400?
Answer:
about 3 years
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^t
Given
Amount A == $2400
Principal P = $1200
rate = 24.77% = 0.2477
Substitute the given values
2400 = 1200(1+0.2477)^t
2400/1200 = (1+0.2477)^t
2 = (1+0.2477)^t
ln 2 = tln1.2477
t = ln2/ln1.2477
t = 3.13
Hence it will take about 3 years until Brad owes the credit card company $2,400