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3 years ago

10. Solve for z: 2 + 8 - z = -24

Mathematics

1 answer:

iVinArrow [24]3 years ago

7 0

Answer:

The answer is z = 34.

Step-by-step explanation:

1) Simplify 2 + 8 - z to 10 - z.

$10 - z = - 24$

2) Subtract 10 from both sides.

$- z = - 24 - 10$

3) Simplify - 24 - 10 to -34.

$- z = - 34$

4) Multiply both sides by -1.

$z = 34$

Therefor, the answer is z = 34.

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Karen set her watch 1 second behind, and it falls behind another 2 seconds every day. How many days has it been since Karen last

Kay [80]

Answer:

The equation to find the answer is $9=1+(n-1)2$ .

It has been 5 days since Karen has set her watch.

Step-by-step explanation:

Given:

Karen set her watch 1 second behind

So we will consider;

First term 'a' = 1 second

Also Given :

it falls behind another 2 seconds every day.

So we can consider;

Common difference = 2

We need to find number of days it has been 9 seconds since Karen last set her watch

Solution:

Let number of days be represented by 'n'.

Also Let $T(n) = 9$

Now By Applying formula for Arithmetic Progression we get;

$T(n)=a+(n-1)d$

Substituting the given values we get;

$9=1+(n-1)2$

Hence The equation to find the answer is $9=1+(n-1)2$ .

On Solving the above equation we get;

Subtracting both side by 1 we get;

$9-1=1+(n-1)2-1\\\\8=(n-1)2$

Now Dividing both side by 2 we get;

$\frac{8}{2}=\frac{(n-1)2}{2}\\\\4=n-1$

Adding 1 on both side we get;

$4+1=n-1+1\\\\n=5$

Hence It has been 5 days since Karen has set her watch.

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4 years ago

Find the simple interest paid to the nearest cent for each loan amount, interest rate, and time.

myrzilka [38]

Answer:

I = $ 1,937.50

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.875%/100 = 0.03875 per year,

then, solving our equation

I = 10000 × 0.03875 × 5 = 1937.5

I = $ 1,937.50

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 3.875% per year

for 5 years is $ 1,937.50.

Step-by-step explanation:

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katen-ka-za [31]

For there to be a direct variation, the answer is true

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2(2a + b) + 8 pls help i need it in simplest form

lord [1]

☁️ Answer ☁️

4a + 2b + 8

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