Ask question

Ask question

All categories

2 years ago

8

Daniella has $210 in the bank, and her balance is growing at a rate of $3 each month. Lori has $187 in the bank,but her balance

is growing at a rate of $4.50 each month. Write a system of equations to find when the girls will have the same amount of money. Be sure to define your variables

1 answer:

just olya [345]2 years ago

4 0

Answer: 15 1/3 months

Step-by-step explanation:

Daniella has $210 in the bank, and her balance grows at a rate of $3 each month. This can be written as:

b = 3m + 210 ...... equation i

Lori has $187 in the bank and her balance grows at a rate of $4.50 each month. This can be written as:

b = 4.5m + 187 ....... equation ii

Combine both equations

b = 3m + 210

b = 4.5m + 187

3m + 210 = 4.5m + 187

4.5m - 3m = 210 - 187

1.5m = 23

m = 23/1.5

m = 15 1/3 months

You might be interested in

Divide $28 in the ratio 5:2:7.

Nina [5.8K]

Answer:

<h3>10:4:14</h3>

Step-by-step explanation:

5+2+7=14

28/14=2

2*5=10

2*2=4

2*7=14

10:4:14

8 0

2 years ago

What value of Z+3÷1/2 = 1 true

fenix001 [56]

Answer - A) -5

Step 1 - 3 Divided by 1/2 = 6

Step 2 - 6 + -5 = 1

Best Of Luck,

- Ari -

8 0

2 years ago

12 of the 28 dogs at the shelter are purebred what percent of the dogs are pure breed?HELP!

harina [27]

Answer:

57.142%

Step-by-step explanation:

28-12=16

16/28*100=57.142%

3 0

2 years ago

Consider the sequence defined recursively by do = 0, an = an-1 + 3n – 1. a) Write out the first 5 terms of this sequence,

creativ13 [48]

Answer:

The first 5 terms of the sequence is 2,7,15,26,40.

Step-by-step explanation:

Given : Consider the sequence defined recursively by $a_0=0$ $a_n=a_{n-1}+3n-1$

To find : Write out the first 5 terms of this sequence ?

Solution :

$a_n=a_{n-1}+3n-1$ and $a_0=0$

The first five terms in the sequence is at n=1,2,3,4,5

For n=1,

$a_1=a_{1-1}+3(1)-1$

$a_1=a_{0}+3-1$

$a_1=0+2$

$a_1=2$

For n=2,

$a_2=a_{2-1}+3(2)-1$

$a_2=a_{1}+6-1$

$a_2=2+5$

$a_2=7$

For n=3,

$a_3=a_{3-1}+3(3)-1$

$a_3=a_{2}+9-1$

$a_3=7+8$

$a_3=15$

For n=4,

$a_4=a_{4-1}+3(4)-1$

$a_4=a_{3}+12-1$

$a_4=15+11$

$a_4=26$

For n=5,

$a_5=a_{5-1}+3(5)-1$

$a_5=a_{4}+15-1$

$a_5=26+14$

$a_5=40$

The first 5 terms of the sequence is 2,7,15,26,40.

5 0

2 years ago

The area of the circular base of a cylinder is 36pi square units. The height of the cylinder is 2 units. What is the lateral are

Ber [7]

24 square inches

hope this helped!

3 0

2 years ago