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maxonik [38]
3 years ago
14

Frank borrowed $800 from a lender that charged simple interest at an annual rate of 4%. When Frank paid of the loan, he paid $12

8 in interest How long was the loan for, in years?
Mathematics
1 answer:
anygoal [31]3 years ago
8 0

Answer:

4 years

Step-by-step explanation:

800 x 0.04 = 32

128 ÷ 32 = 4

4 years

...

4% = 0.04 because of 4 ÷ 100

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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab
Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

m=\frac{y_2-y_1}{x_2-x_1}

The product of slopes of two perpendicular lines is -1.

Slope of GR is

\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}

Slope of RT is

\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1

Product of slopes of GR and RT is

\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

(x,y)\rightarrow(x-1,y-2)

Then the coordinates of T' are

(2,6)\rightarrow(2-1,6-2)

(2,6)\rightarrow(1,4)

Slope of RT' is

\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}

Product of slopes of GR and RT' is

\frac{-4}{3}\times \frac{3}{4}=-1

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0
3 years ago
An equation with an exponent is called an exponential equation. True False
lyudmila [28]

Answer:

true

Step-by-step explanation:

7 0
3 years ago
I need this answered please
MA_775_DIABLO [31]

I hope this helps

3x-y=13

step 1: add y to both sides

3x-y+Y=13+Y

3x=y+13

step 2: divide both sides by 3

3x/ 3 = y+13/3

x=1/3y+ 13/3

answer: x=1/3y+13/3

8 0
3 years ago
Find the slope of the line that passes through the two points below."<br> (7,-1) and (9,0)
Stells [14]

Answer:

1/2 or 0.5 (same value, different form)

Step-by-step explanation:

Ok...since I can't actually graph it, we can make a table out of it....

x      y

7     -1

9      0

From -1 to 0, we add 1 (this is for the y section)

From 7 to 9, we add 2 (this is for the x section)

Now all we have to do is divide the y with the x

y/x = 1/2

The slope will be 1/2 (fraction form) 0.5 (decimal form)

Hope this helped!

3 0
3 years ago
What is the solution to the equation? Need help with both 3 and 4
In-s [12.5K]
3. -1
4. 19/4
hope i helped!

4 0
3 years ago
Read 2 more answers
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