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astraxan [27]
3 years ago
11

The age of a father is to less than seven times the age of his son in three years the sum oftheir ages will be 52 if the sons pr

esents age is S years which equation models this situation
Mathematics
1 answer:
vekshin13 years ago
3 0

Answer:

The correct answer is:

(7s-2)+3+(s+3) = 52, or 8s+4 = 52.

Step-by-step explanation:

Since s is the son's age, "two less than seven times" the son's age would be represented by 7s-2. To represent this in 3 years, we would add 3: (7s-2)+3. In 3 years, the son's age, s, would be represented by s+3. We are told that the sum of these ages will be 52; this gives us (7s-2)+3+(s+3) = 52.

To simplify this, combine like terms. 7s+s = 8s; -2+3+3 = 4. This gives us 8s+4=52.

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3h − j when h = 8 and j = 11
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Answer:

13

Step-by-step explanation:

h = 8

j = 11

3h - j

= 3(8) - 11

= 24 - 11

= 13

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2 years ago
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Find the total in the account with the following facts monthly contributions =$180 employer matching 25% interest rate 4.99% yea
algol13

Answer:

The amount that will be in the account after 38 years is $ 36811,05

Step-by-step explanation:

a)

For resolved this exercise used the next equation

R(1-(1 + i)--) Ap = ... (1)

Ap = Amount in account

R = Paid monthly

i = Monthly interest rate

t = Months for paid

Dates

i=- 2.05% 12 = 0,1708% = 0.0017

The interest is divided for 12 because is annual and the formula is mensual

t = 15yearsx12 = 180 months

             R = 220$

R(1-(1 + i)-) Ap =

220(1-(1 + 0.0017)-180) Ap = 0.0017

162,04 Ap=0.0017

Ap = 95321,855

The amount that will be in the account after 15 years is $ 95,321.85

b)

R(1-(1 + i)--) Ap = ... (1)

Ap = Amount in account

R = Paid monthly

i = Monthly interest rate

t = Months for paid

i=- 4,99% -= 0,415% = 0.0041

The interest is divided for 12 because is annual and the formula is mensual

t = 38yearsx12 = 456 months

             R = 180$

R(1-(1 + i)-) Ap =

Ap = 180(1-(1 + 0.0041) -456 0.0041

Ap = 36811,055

The amount that will be in the account after 38 years is $ 36811,05

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3 years ago
Dylan has a 32-ounce coffee.He drinks 4 ounces. What is the percentage of ounces left of his coffee?
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32 \div 100 = 3.125 \\  \\ 3.125 \times 4 = 12.5 \\  \\ 100 - 12.5 = 87.5 \\  \\ 87.5
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