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mihalych1998 [28]
2 years ago
5

The dot plot shows the number of hours of daily driving time for 14 school bus drivers. Each dot represents a

Mathematics
1 answer:
hram777 [196]2 years ago
6 0

Answer: 8/14

Step-by-step explanation: make 8/14 into a percent and you have the answer for khan

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Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates
cupoosta [38]

Answer:

The Annual rate of interest for the mortgage is 1.8%

Step-by-step explanation:

Given as :

The mortgage principal = p = $167,000

The time period of mortgage = t = 20 years

The Amount paid towards mortgage in 20 years = A = $240,141

Let the Annual percentage rate on interest = r % compounded annually

Now, <u>From Compound Interest method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, $240,141 = $167,000 × (1+\dfrac{\textrm r}{100})^{\textrm 20}

or, \dfrac{240,141}{167,000} =  (1+\dfrac{\textrm r}{100})^{\textrm 20}

Or , 1.437 =  (1+\dfrac{\textrm r}{100})^{\textrm 20}

Or, (1.437)^{\frac{1}{20}} = (1+\dfrac{r}{100})

or, 1.018 = (1+\dfrac{r}{100})

Or, \dfrac{r}{100} =  1.018 - 1

Or, \dfrac{r}{100} = 0.018

∴ r = 0.018 × 100

i.e r = 1.8

So, The rate of interest applied = r = 1.8 %

Hence, The Annual rate of interest for the mortgage is 1.8%  Answer

8 0
3 years ago
The sum of three consecutive odd numbers is 987. Find the numbers.
hodyreva [135]

Answer:

Step-by-step explanation:

Let first odd number = a, second odd number = a +2, third odd number = a + 4

a + a + 2 + a + 4 = 987

3a + 6 = 987

3a = 981

a = 327

First odd number = a = 327

Second odd number = a + 2 = 329

Third odd number = a + 4 = 331

6 0
2 years ago
Ted knows the actual distance between two cities is 150 miles. His map shows a distance of 2 inches between these cities. What i
Serjik [45]

Answer:

The scale used on his map is <u>150 miles : 2 inches</u>.

Step-by-step explanation:

Given:

Ted knows the actual distance between two cities is 150 miles. His map shows a distance of 2 inches between these cities.

Now, to find the scale Ted used on his map.

The actual distance Ted know between two cities = 150 miles.

The distance on map between these cities = 2 inches.

So, to get the scale used on his map:

\frac{The\ actual\ distance\ Ted\ know\ between\ two\ cities}{The\ distance\ on\ map\ between\ these\ cities}

=\frac{150\ miles}{2\ inches}

=150\ miles:2\ inches.

Therefore, the scale used on his map is 150 miles : 2 inches.

5 0
2 years ago
The function f(x) = −x2 + 16x − 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number
castortr0y [4]
I wrote it out on paper and uploaded the answer for you. Let me know if you have any questions.

5 0
3 years ago
Read 2 more answers
The Rachel’s daily expenses for 10 days are in the table.
Annette [7]
The correct answer is $44.20. 
If we add up all the tips, the total is $442. If we divide this by the number of days (10), then we find the mean.
442 / 10 = 44.2
4 0
3 years ago
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