Which of the following statements is true regading circle graphs?Choose the correct answer below .

A. Each sector of a circle graph shows a category and the relative size of the category .
B. A circle graph can only be used for categories where the data adds up to 360.
C. Each sector of a circle graph that is the same size must be the same color .
D. The percents in each circle graph add up to 360 .

Answers

Answer 1

Answer: A. Each sector of a circle graph shows a category and the relative size of the category .

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A flower shop sells tulips and roses. The price of each tulip is the same, and the price of each rose is the same. One customer bought 7 tulips and 9 roses for $25.90. Another customer bought 4 tulips and 8 roses for $19.80. How much will it cost a customer to buy 5 tulips and 6 roses?
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a person deposits $5000 in an account paying 2.5%, compounded semiannually. Find the amount in the account after 4.5 years

Answers

Answer:

$5,591.46

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

$A=P(1+(r)/(n) )^(nt)$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 2.5% into a decimal:

2.5% -> $(2.5)/(100)$ -> 0.025

Since the interest is compounded semiannually, we will use 2 for n. Lets plug in the values now:

$A=5,000(1+(0.025)/(2))^(2(4.5))$

$A=5,591.46$

The amount in the account after 4.5 years is $5,591.46

Final answer:

To find the amount in the account with compound interest, we use the compound interest formula. Substituting given values into the formula, we can calculate the final amount in the account after the specified time period.

Explanation:

The subject of this question is the calculation of compound interest. In this case, the person is investing $5000 at an interest rate of 2.5%, compounded semiannually, with the principle kept on deposit for 4.5 years.

The formula used to calculate compound interest is: A = P * (1 + r/n)^(nt), where:

A is the amount of money accumulated after n years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (in decimal).
n is the number of times that interest is compounded per year.
t is the time the money is invested for in years.

Substituting the given values into the formula we get: A = 5000 * (1 + 0.025/2)^(2*4.5). Solving, you obtain the amount in the account after 4.5 years.

Learn more about Compound Interest here:

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Anna, Elisa and Tiara are selling candy bars to raise money for the track team. The ratio of candy bars sold by Anna, Elisa and Tiara are 2 to 4 to 7.Elisa has sold 28 candy bars. How many candy bars do the girls sold altogether?

Answers

Number of candy bars sold by girls altogether is 91

Solution:

Given that The ratio of candy bars sold by Anna, Elisa and Tiara are 2 to 4 to 7

So ratio of candy bars sold by Anna, Elisa and Tiara = 2 : 4 : 7

Let the candy bars sold by Anna be 2a

Let the candy bars sold by Elisa be 4a

Let the candy bars sold by Tiara be 7a

Given that Elisa has sold 28 candy bars

Number of candy bars sold by Elisa = 28

4a = 28

a = 7

So we have found "a" as 7

Thus we get,

candy bars sold by Anna = 2a = 2(7) = 14

candy bars sold by Elisa = 4a = 4(7) = 28

candy bars sold by Tiara = 7a = 7(7) = 49

We have to find the number of candy bars sold by girls altogether

number of candy bars sold by girls altogether = candy bars sold by Anna + candy bars sold by Elisa + candy bars sold by Tiara

number of candy bars sold by girls altogether = 14 + 28 + 49 = 91

So altogether girls sold 91 candies

Explain how you could add 678 + 303 using mental math

Answers

678 + 303 = 981

Here are a few examples to get you started:
600 + 300 = 900
78 + 3 = 81
900 + 81 = 981
Here's another one:
678 = 600 + 70 + 8
303 = 300 + 00 + 3
Add the ones place = 11
Add the tens place = 70
Add the hundreds place = 900
Now add 900 + 70 + 11 = 981
Hope this helps! :-)

What is the answer to this problem 48÷9=5 r3

Answers

48 divided by 9 is 5 with a remainder of 3...

If the circumference of a spherical object is 43.96 cm, what is the surface area of the object? Use 3.14 for pi im doing math with surface area fora sphere

Answers

c=2pir
SA=4pir^2

43.96=2pir
divide both sides by 2
21.98=pir
divide both sides by pi (aprox pi to 3.14)
7=r

SA=4pir^2
SA=4pi7^2
SA=4pi49
SA=196pi

aproxpi=3.14
sa=615.44 cm^2

Solutions

Finding the sum of all the areas of each face on a 3-D object is called calculating the surface area. To calculate the surface area you use the formula c=2πr.

Calculate

SA = 4πr²

43.96 = 2πr

Divide each of the side by 2

43.96 = 2πr ÷ 2

21.98 = πr

divide both sides by π (approximate π to 3.14)

7=r

SA=4πr²

SA=4π7²

SA=4π49

SA=196pi

SA =615.44 cm²

Explain how you can tell 2pi > Srt of 35 without finding the decimal number estimate of either number.

Answers

Answer:

Step-by-step explanation:

it should be clear 2pi > 6.

Also, sqrt(35) < 6 because 6x6=36.

So, 2pi > 6 > sqrt(35)

Thus 2pi > sqrt(35)

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