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3 years ago

Jason has three more than four times the amount of money that Jeff has. Together they have $72 How much does each person have?

Mathematics

1 answer:

Vlad [161]3 years ago

4 0

Answer:

$58.20
$13.80

Step-by-step explanation:

Let Jason's money be x and Jeff's money be y

x = 4y + 3
x + y = 72

Substitute x in the second equation

4y + 3 + y = 72
5y = 69
y= 69/5
y = $13.80

Then

x = 4*13.8 + 3 = $58.2

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3 years ago

Angela and you are painting a room. Angela has 2 1/2 gallons of blue paint and Ryou has half as much white paint. It will take 2

GREYUIT [131]

Conversion from gallons to quarts

1 gallon = 4 quarts

Now,

Angela has $2 \frac{1}{2}$ gallons = $2\frac{1}{2} *4$ = 10 quarts of blue paint

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3 years ago

Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore $72,449.19

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3 years ago

Read 2 more answers

Determine whether the sets have a subset relationship. R = {right triangles} O = {obtuse triangles} a) R and O are disjoint. b)

DerKrebs [107]

Answer:

Step-by-step explanation:

A right angled triangle has one angle equal to 90°

an obtuse angle triangle has one angle greater tan 90°

a) An o and right-angled triangle btuse angled triangle can have one angle equal.

b) R and O are not equivalent by definition

c) subset of R and Oare not all triangles as R and O are categories of all triangles. R and O are subset of all triangles

d) Acute triangles have all acute angles. So subset of R and O can't be all acute traingles

e) All triangles with two acute angles are may or may not have third angle as obtuse angle or 90° angle

f) none of the above

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3 years ago

Jason has three more than four times the amount of money that Jeff has. Together they have $72 How much does each person have? ​

Jason has three more than four times the amount of money that Jeff has. Together they have $72 How much does each person have?