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Delvig [45]
3 years ago
13

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Mathematics
1 answer:
Arada [10]3 years ago
8 0
The answer is d. You are welcome
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PLEASE HELP
irina [24]

Using simple interest, it is found that:

  • The amount invested at 7% is $2,000.
  • The amount invested at 8% is $8,000.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The interest after t years in is modeled by:

I(t) = Prt

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

In this problem:

  • A total of $10,000 was invested, hence P_1 + P_2 = 10000.
  • Two accounts paying 7% and 8% annual interest, respectively, hence r_1 = 0.07, r_2 = 0.08.
  • The total interest earned for the year was $780, hence t = 1, I_1 + I_2 = 780

Then:

I_1 = 0.07P_1

I_2 = 0.08P_2

Considering P_1 + P_2 = 10000 \rightarrow P_2 = 10000 - P_1:

I_2 = 0.08(10000 - P_1)

Considering I_1 + I_2 = 780 \rightarrow I_2 = 780 - I_1:

780 - I_1 = 0.08(10000 - P_1)

Considering I_1 = 0.07P_1:

780 - I_1 = 0.08(10000 - P_1)

780 - 0.07P_1 = 0.08(10000 - P_1)

0.01P_1 = 20

P_1 = \frac{20}{0.01}

P_1 = 2000

And:

P_1 + P_2 = 10000

2000 + P_2 = 10000

P_2 = 8000

Then:

  • The amount invested at 7% is $2,000.
  • The amount invested at 8% is $8,000.

You can learn more about simple interest at brainly.com/question/25296782

8 0
3 years ago
1 4/5+ 2 2/3=what<br><br> 5 7/8 - 3 1/2=what<br> 1 1/2+ 3 1/5=what<br> 7 5/6- 5 1/2=what
lilavasa [31]

Answer:

1.) 4 7/15

2.) 2 3/8

3.) 4 7/10

4.) 2 1/3

Step-by-step explanation:

1.) 1 4/5 + 2 2/3

3 + 4/5 + 2/3

LCD = 15

3 + 12/15 + 10/15

3 + (12 + 10)/15

3 + 22/15

3 + 1 7/15

4 7/15

2.) 5 7/8 - 3 1/2

(5 x 8 + 7)/8 - 3 1/2

47/8 - 3 1/2

47/8 - (3 x 2 + 1)/2

47/8 - 7/2

LCD = 8

47/8 - 28/8

19/8

2 3/8

3.) 1 1/2 + 3 1/5

4 + 1/2 + 1/5

LCD = 10

4 + 5/10 + 2/10

4 + (5 + 2)/10

4 7/10

4.) 7 5/6 - 5 1/2

(7 x 6 + 5)/6 - 5 1/2

47/6 - 5 1/2

47/6 - (5 x 2 + 1)/2

47/6 - 11/2

LCD = 6

47/6 - 33/6

(47 - 33)/6

14/6

7/3

2 1/3

3 0
3 years ago
Read 2 more answers
Without a calculator determine if the whether sin 192 is postivte or a negatvive
Slav-nsk [51]
The end point for a 192 degree angle is located in the third quadrant, where both x and y are negative, so both sin192, cos192 are negative. 
6 0
4 years ago
How many ways can two marbles be chosen from a set of five marbles?<br> 5<br> 10<br> 15<br> 20
PtichkaEL [24]

Answer:

The answer is 20.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Whats the next number 0 3 8 15 24 35
exis [7]
I believe it is 48. 
0+3=3
3+5=8
8+7=15
15+9=24
24+11=35
35+13=48
5 0
3 years ago
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