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Luden [163]
3 years ago
11

An actor invests some money at 7%, and $48000 and more than twotimes the amount of 9%. The total annual interest earned from the

investment is $17820. How much did he invest at each amount?
Mathematics
1 answer:
forsale [732]3 years ago
5 0

Answer:

At 7% $54,000

At 9% $156,000

Step-by-step explanation:

Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%

We know that:

7% = 0.07 & 9% = 0.09

So we can write the interest equation as follows:

0.07x + 0.09 (2x + 48000) = 17820

0.07x + 0.18x + 4320 = 17820

0.25x + 4320 = 17820

Subtracting 4320 from both sides of the equation we get:

0.25x = 17820 - 4320

0.25x = 13500

Dividing both sides of the equation by 0.25 we get:

x = 13500 / 0.25

x = $54,000 invested at 7%

&

2 x 54000 + 48000

= $156,000 invested at 9%

Hence the amount invested at 7% is $54,000.

& the amount invested at 9% is $156,000.

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Which equation is correctly rewritten to solve for y?
kap26 [50]

Answer : The correct option is, (B) y=\frac{t-d}{31}

Step-by-step explanation :

As we are given that the expression as:

12y+d=-19y+t

By solving the term we get the value of 'y'.

12y+d=-19y+t

We are taking like terms together.

12y+19y=t-d

Now we are adding like terms, we get:

31y=t-d

y=\frac{t-d}{31}

Therefore, the equation correctly rewritten to solve for y is, y=\frac{t-d}{31}

8 0
3 years ago
In which number does the digit 1 have a value that is ten times as great as the value of the digit 1 in the number 215,784?
hram777 [196]

Answer:

In which number does the digit 1 have a value that is ten times as great as the value of the digit 1 in the number 215784 - 21911642.

5 0
1 year ago
Write an equation in slope intercept form of the line that passed through (7,2) and (2,12)
Sonbull [250]

Answer:

y= -2 x + 16

Step-by-step explanation:

bloop! hope it helps

6 0
3 years ago
Can someone pls help me
Ivan

Answer:

arc EFC = 237°

Step-by-step explanation:

arc DEF = 140°

arc EF = 140° - 83° = 57°

arc DC = arc FG

arc DC = (360° - 140° - 140°)/2 = 40°

arc EFC = arc CG + arc FG = arc EF = 140° + 40° + 57° = 237°

8 0
3 years ago
at the same time a 15 foot pole casts a 7.5 foot shadow a nearby tree casts an 11 foot shadow how tall is the tree​
soldier1979 [14.2K]

answer: 22

15/7.5 = x/11

cross multiply

7.5x = 165

divide by 7.5 on both sides to get the x alone

7.5x/7.5 = 165/7.5

x = 22

the tree is 22 feet

sorry if it’s wrong

4 0
2 years ago
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