All categories

3 years ago

Situation A

Mathematics

1 answer:

Colt1911 [192]3 years ago

7 0

The equation a = 100 + 75d represents Maria's account balance.

Step-by-step explanation:

Given that,

Maria opened a new savings account with an initial deposit of $100.
She deposits $75 into this savings account every two-weeks.

You need to find the equation to represent Maria's account balance, a after she has completed d deposits.

Let 'd' be the number of deposits Maria made after the initial deposit.
Let 'a' be the total account balance after 'd' deposits.

Therefore, the equation for the total account balance can be framed as the sum of the initial deposit and amount deposited after that.

To find the amount that was deposited after the initial deposit :

⇒ $75 × number of times Maria deposited.

⇒ 75 × d

The equation is written as,

⇒ a = 100 + 75d

Hence the equation a = 100 + 75d represents Maria's account balance.

You might be interested in

The ratio of Rogers age to his sons is 7:3. If the sum of their ages are 60 how old is Rogers son

Nimfa-mama [501]

Answer:24

Step-by-step explanation:

Sum of their ages is 60 yr. As such

7x + 3x = 60

10x = 60

x = 60 / 10

x = 6

The rationale is 6, therefore

Father's age is 7x = 7 × 6= 42 years

Son's age is 3x = 3 × 6 = 18 years

Difference in their ages

42 - 18 = 24 years

5 0

3 years ago

Write an algebraic expression for the word expression: 15 divided by the sum of "d" and 3

Yuki888 [10]

the answer is

15/(3+d)

8 0

4 years ago

43ones x3 tens=how many tens

KATRIN_1 [288]

There are 129 tens because 43x30 (3 tens) is 1,290

7 0

3 years ago

You go to the outlet mall with a friend and buy a jacket for $49.00 and new Vans for $55.00. Sales tax in Texas is 8.25%. How mu

Vlada [557]

Answer:

Amount spent after sales tax = $112.58

Step-by-step explanation:

Given that:

Cost of jacket = $49.00

Cost of new Vans = $55.00

Total spent = 49.00 + 55.00 = $104.00

Sales tax = 8.25%

Amount of sales tax = $\frac{8.25}{100}*104$

Amount of sales tax = $8.58

Total after sales tax = 104.00 + 8.58 = $112.58

Hence,

Amount spent after sales tax = $112.58

3 0

3 years ago

A triangle has a perimeter of 31. The longest side is equal to 12. The difference of the other two is 3. What is length of the s

xenn [34]

Answer:

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle.

let the other 2 sides be x and x - 3 , then

12 + x + x - 3 = 31

2x + 9 = 31 ( subtract 9 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11 and x - 3 = 11 - 3 = 8

The 3 sides are 12, 11, 8

with shortest side 8

3 0

2 years ago