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True [87]
1 year ago
9

Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total

interest is $220, how much is invested in each savings account?
Mathematics
1 answer:
dexar [7]1 year ago
6 0

A account 8% B account 12%

A+$450 = B (1)

Ax8% +Bx12%= $220

Ax0.08 + Bx0.12 = 220

Now we replace (1) on B:

Ax0.08 + (A+450)x0.12 = 220

Ax0.08 + Ax0.12 + 54 = 220

Ax0.2 = 166

A= 830.

Now we replace the value of A on equation (1):

830 + 450 = B

B = 1280

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.
RUDIKE [14]
Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

xy = 288  \\  \\  \\  \\ \Rightarrow y= \frac{288}{x}

Substituting for y into the equation for the length of fencing needed, we have

P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}

For the amount of fencing to be minimum, then

\frac{dP}{dx} =0 \\  \\ \Rightarrow1- \frac{576}{x^2} =0 \\  \\ \Rightarrow \frac{576}{x^2} =1 \\  \\ \Rightarrow x^2=576 \\  \\ \Rightarrow x=\sqrt{576}=24

Now, recall that

y= \frac{288}{x} = \frac{288}{24} =12

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.
8 0
3 years ago
How do I solve question 2?
sdas [7]

you multiply the number of years

6 0
2 years ago
Solve.<br> <img src="https://tex.z-dn.net/?f=2%205%2F6%20%2B%20%28-1%204%2F12%29%20%3D" id="TexFormula1" title="2 5/6 + (-1 4/12
Vladimir79 [104]

Answer:

3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Pleas help me!!!
tigry1 [53]

The answer is about 900.

8 0
3 years ago
PLEASE HELPPP WILL GIVE BRAINLIEST!!!!!
irakobra [83]

Answer:

<h2>C. 9x³ − 11x² − 7x </h2>

Step-by-step explanation:

f(x)=36x^5-44x^4-28x^3\\\\g(x)=4x^2\\\\\dfrac{f(x)}{g(x)}=\dfrac{36x^5-44x^4-28x^3}{4x^2}\\\\\dfrac{f(x)}{g(x)}=\dfrac{(4x^2)(9x^3)-(4x^2)(11x^2)-(4x^2)(7x)}{4x^2}\\\\\dfrac{f(x)}{g(x)}=\dfrac{(4x^2)(9x^3-11x^2-7x)}{4x^2}\qquad\text{cancel}\ 4x^2\\\\\dfrac{f(x)}{g(x)}=9x^3-11x^2-7x

7 0
2 years ago
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