Which is true from these equations

Suppose that the local sales tax rate is 6.25% and you purchased a used car for $16,800. What is the car’s total cost?

Tanzania [10]

Total= Car Cost + (Car Cost * Tax %)

Total= $16,800 + ($16,800 * 6.25%)
convert % to decimal form; divide % by 100

Total= $16,800 + ($16,800 * 0.0625)
multiply inside parentheses

Total= $16,800 + $1,050

Total= $17,850

ANSWER: The total cost for the used car with tax is $17,850.

Hopd this helps! :)

7 0

3 years ago

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Help please 10 points

katovenus [111]

Answer:

The answer would be D - (11, -1)

Step-by-step explanation:

You can this by adding 6 to the x-coordinate since it is shifting right and then subtracting 4 units from the y-coordinate.

6 0

3 years ago

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Branda and Laurie have rectangular shaped backyards. Branda's yard measures 35 feet by 90 feet. Laurie's yard measures 40 feet b

tia_tia [17]

To find the area of each backyard, we need to multiply the length and width together.

For Branda, her yard is 35 by 90, which means the area is 35*90 which = 3150.

For Laurie, her yard is 40 by 65, which means the area is 40*65 which = 2600.

Now, we are asked to find the difference between Branda and Lauries yard areas. The difference means how much larger Branda's area is than Lauries.

This means we have to subtract Laurie's area from Branda's.

So, we do 3150 - 2600 = 550

So, our answer is 550ft^2

4 0

3 years ago

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Use pictures or words to explain what shapes can be put together to make a hexagon shape.

GenaCL600 [577]

Triangles are the easiest shape to make a hexagon out of. You can do this by lining up 6 triangles where each base of the triangle lines up.

5 0

3 years ago

For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago