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larisa86 [58]
3 years ago
5

You put $5,000 in a simple interest account at a bank. You will earn $1,200 in just 4 years. What is the annual interest rate fo

r the account?
Mathematics
1 answer:
bogdanovich [222]3 years ago
7 0
The annual interest rate is 6%
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The variable z is inversely proportional to x when x is 3 z has the value 1.6666666666667. What is the value of z when x =12 ??
Harlamova29_29 [7]

The governing equation is z = k/x.

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governing equation becomes z = 5/x.

Now if x=12,

z = 5/12 (answer)

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Hello I don’t understand question 9 a and b. Please show working out.<br> Thanks
brilliants [131]
A) I would make the positive integer x and then form an equation.

x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6

Since the question asks for a positive integer the answer is 7.

B) two positive numbers x and y.

X - y = 3
x^2 + y^2 = 117

Use these simultaneous equations to figure out each number.

Rearrange the first equation

x = y + 3

Then substitute it into the second equation.

(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)

This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.

Use y to find x

x = y + 3
x = 6 + 3
x = 9

So the answers are x = 9 and y = 6.
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3 years ago
From some petroleum, you can get 30% of paraffin. How much petroleum do you need in order to get 18.75 tons of paraffin?
Sindrei [870]
27 tons is the answer
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tino4ka555 [31]

If we let p be the number of pages read in 1 hour, then in 7 hours Doug reads 7p pages. We know that this number of pages is 231, so we have

7p=231 \iff p = \dfrac{231}{7} = 33

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4 years ago
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