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BartSMP [9]
3 years ago
12

in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?​

Mathematics
1 answer:
Luda [366]3 years ago
4 0

Answer:

x=34

Step-by-step explanation:

If you put Y and X <u>into a ratio</u> then it will be

5:2

because since their GCF is 11, then we will have to <u>divide</u> both of the numbers by <em>11</em>.

If y=85 then that means that it was<u> multiplied by 17</u>. If we want them to <u>stay within the same ratio</u>, then we will have to multiply X (2) by 17.

That will get you 34.

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c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e
castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

A=Pe^{rt}, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A=  $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428

Taking natural log on both the sides , we get

15r=\ln(7.3428)\\\\\Rightarrow\ 15r=1.9937\\\\\Rightarrow\ r=\dfrac{1.9937}{15}0.132913333333\approx0.1329=13.29\%

Hence, the annual interest rate = 13.29%

6 0
3 years ago
31=4-9y I need help sorry
Drupady [299]

Answer:

y=-3

Step-by-step explanation:

31=4-9y

9y=4-31

9y=-27

y=-27/9

y=-3

8 0
3 years ago
What are the roots of the equation x2 - 5x + 6 = 0?
Alenkasestr [34]

The answer is

B. -2 and 3

Step-by-step explanation :

Given the expression

x²- 5x + 6 = 0

Firstly we need to find two numbers that when multiplied will give us the constant term 6, and when added will give us the 2nd term 5

These numbers are 3 and 2

Substituting 2x +3x for 5x

x²- (2x+3x)+ 6 = 0

x²-2x-3x+6=0

(x²-2x)-(3x+6)=0

Factoring we have

x(x-2)-3(x-2)=0

x-3=0, x-2=0

x=3, x= 2

7 0
3 years ago
W+3 3/8=1 5/6 what is the answer
Annette [7]

W + 3 3/8 = 1 5/6;

W = 1 5/6 - 3 3/8;

W = 11/6 - 27/8;

W = 11/(2*3) - 27/(2*4);

W = (11*4 - 27*3)/(2*3*4);

W = (44 - 81)/24;

W = -37/24 = -1 13/24;

5 0
3 years ago
Is this the correct answer?
alexgriva [62]

Answer:

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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