Mr. fixit wanted to remodel his business, so he got a loan of $4,300, at a rate of 6 percent interest. he paid this loan off in 8 months. knowing this, what was the total amount of interest mr. fixit paid?
a. $21.50
b. $172
c. $258
d. $358

Option B - $172

Step-by-step explanation:

Given : Mr. Fixit wanted to remodel his business, so he got a loan of $4,300, at a rate of 6 percent interest. He paid this loan off in 8 months.

To find : What was the total amount of interest Mr. Fixit paid?

Solution :

Applying compound interest formula,

Where,

Here, A is the amount

P is the principal P=$4300

r is the interest rate r=6%

t is the time = 8 months

Substitute the value in the formula,

Now, We find the interest

Total amount of interest Mr. Fixit paid is $172.

Therefore, Option B is correct.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.