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pishuonlain [190]
2 years ago
8

DOPO

Mathematics
1 answer:
Nesterboy [21]2 years ago
5 0

Answer:

$144,843.5

Step-by-step explanation:

In this problem we are going to apply the compound interest formula

A= P(1+r)^t

A = final amount

P = initial principal balance

r = interest rate

t = number of time periods elapsed

Given data

P= $27,000

R= 7.25%= 7.25/100= 0.0725

T= 24

A=27000(1+0.0725)^24

A= 27000(1.0725)^24

A= 27000*5.364

A= $144,843.5

In 24 years her account balance will be $144,843.5

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During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea
allsm [11]
The answer is 30.
There are 16 cups in a gallon. And 120 minutes in 2 hours. so multiple 
16*120 which is 480. Then divide 480/120 and get 30 as your answer
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The amount of water that the girls on the basketball and soccer teams drink during one practice session is recorded in the dot p
Radda [10]

Answer:

<h2>B. 30 oz less than.</h2>

Step-by-step explanation:

We have two dot plots, one for the Basketball Team and one for the Soccer Team.

Notice that there are 16 girls in the Basketball Team and 16 girls in the Soccer Team.

Basically, the median is between the 8th and 9th term in each data set. Specifically, is the mean between them.

<h3>For Basketball Team</h3>

m_{basketball} =\frac{32+32}{2}=32

Because the 8th and 9th term are both equal to 32.

<h3>For Soccer Team</h3>

m_{soccer}=\frac{64+64}{2}=64

Because the 8th and 9th term are both equal to 64.

If we subtract them to find the difference, it would be

\Delta m=64-32=32

Basically, the Soccer Team drank 32 more ounces of water than the Basketball Team.

Therefore, the right answer is B, that's the closest one.

4 0
2 years ago
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Consider this equation: -2x - 4 + 5x = 8 Generate a plan to solve for the cariable. Describe the steps that will be used.
nordsb [41]
We are given the function –2x – 4 + 5x = 8 and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:

-2x + 5x =8+4
Then, do the necessary operations.

3x = 12
x = 4.
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Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $
STatiana [176]

Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

5 0
2 years ago
For circle O, and m∠ABC = 55°. In the figure, ∠_____ and ∠____ have measures equal to 35°.
luda_lava [24]

Answer:

In the figure ∠ABO and ∠BCO have measures equal to 35°.

Step-by-step explanation:

<u><em>The complete question is</em></u>

For circle O, m CD=125° and m∠ABC = 55°

In the figure<____, (AOB, ABO, BOA)  and <_____ (BCO, OBC,BOC) have measures equal to 35°

The picture in the attached figure

step 1

Find the measure of angle COB

we know that

m\angle COB=arc\ CD ----> by central angle

we have

arc\ CD=125^o

therefore

m\angle COB=125^o

step 2

we know that

AB is a tangent to the circle O at point A

so

ABC and ABO are right triangles

In the right triangle ABC

Find the measure of angle BCA

Remember that

m\angle BCA+m\angle\ ABC=90^o ---> by complementary angles in a right triangle

we have

m\angle ABC=55^o

substitute

m\angle BCA+55^o=90^o

m\angle BCA=90^o-55^o=35^o\\

step 3

In the triangle BCO

Find the measure of angle CBO

we know that

m\angle CBO+m\angle COB+m\angle BCO=180^o ---> the sum of the interior angles in any triangle must be equal to 180 degrees

we have

m\angle COB=125^o

m\angle BCO=m\angle BCA=35^o -----> have measure equal to 35 degrees

substitute

m\angle CBO+125^o+35^o=180^o

m\angle CBO=180^o-160^o=20^o

step 4

Find the measure of angle ABO

In the right triangle ABO

we know that

m\angle ABC=m\angle CBO+m\angle ABO ----> by angle addition postulate

we have

m\angle ABC=55^o

m\angle CBO=20^o

substitute

55^o=20^o+m\angle ABO

m\angle ABO=55^o-20^o=35^o ----> have measure equal to 35 degrees

therefore

In the figure ∠ABO and ∠BCO have measures equal to 35°.

3 0
2 years ago
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