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const2013 [10]
3 years ago
14

You split $2200 between two savings accounts. account a pays an annual interest rate of 5% and account b pays an annual interest

rate of 3%. after one year, you have earned a total of $78.50 in interest. how much money did you invest in each account?
Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer:

  • $625 at 5%
  • $1575 at 3%

Step-by-step explanation:

Let x be the amount at 5%

Then 2200 - x is the amount at 3%

<u>The total interest is:</u>

  • 0.05x + (2200 - x)*0.03 = 78.50
  • 5x + (2200 - x)*3 = 7850
  • 5x + 6600 - 3x = 7850
  • 2x = 7850 - 6600
  • 2x = 1250
  • x = 625

<u>Find the amount at 3%:</u>

  • 2200 - 625 = 1575
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3 years ago
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The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet. What are the dimensions
Vesna [10]

Answer:

3 ft by 8 ft

Step-by-step explanation:

We were given the area as 24 square feet which means that

L×w= 24....eqn(1)

We were given the perimeter as 22 square feet which means that

22= 2(L +w).......eqn(2)

If we divide both cause by 2 in eqn(2) we have

11= L+ w .....eqn(3)

W= 11-L.........eqn(4)

Substitute eqn(4 into eqn(1)

L× (11-L)=24

-L^2 +11L-24=0

If we factorize

(L-8)(L-3)

L=3 or 8

From eqn4)

W=11-L

At L=3

W=11-3=8

Hence, the dimension is 3 ft by 8 ft

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g100num [7]

Answer:

5.28

Step-by-step explanation:

Divided it and you get 5.28. You can also use a calculator if you need to

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Solve for x in the following figure and choose the appropriate result.
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Answer:

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e is equal to x and 2

Step-by-step explanation:

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!!!!PLEASE HELP!!!
Wittaler [7]

Answer:

C. x = -1 ; x ~8.1

Step-by-step explanation:

First we graph f(x)= -\sqrt{x+2} -3

Here we have x+2 under the square root. x+2>=0, x>=-2

So we take some x  values greater than -2  and find out f(x)  to make a table for graphing

x        f(x)

-2       -\sqrt{-2+2} -3=-3

-1        -4

2        -5

Graph it  and extent the graph

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Given equation is in the form of g(x) = a|x-h| + k

where (h,k) is the vertex

here h= 3  and k = 4, so vertex is (3,4)

Now make a table, pick some numbers for x  less than and greater than vertex

x     y

-1     -2|-1-3| + 4=-4

0    -2|0-3| + 4=-2

3    4

6     -2

Both graphs are attached below

The graph of f(x)  and g(x) interests  at x= -1  and x=8.1

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