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3 years ago

Owen follows the rule "divide by 2" to write the pattern below. He will write two

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

100/2 = 50 goes in the fifth position of the list

50/2 = 25 goes in the sixth position of the list

And the complete pattern is: 800, 400, 200, 100, 50, 25

Then, every number in the pattern will have a 0 or a 5 in its ones place.

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Montoya Construction needs to borrow $375,000 to build a road to install utilities in a small subdivision. It borrows the funds

MissTica

Step 1

Given;

$\begin{gathered} \text{Principal(p)= \$375000} \\ \text{First rate = 8\%=}\frac{8}{100}=0.08 \\ \text{Second rate = 20\%= }\frac{20}{100}=0.2 \\ \text{Time}=\frac{90}{365}=\frac{18}{73} \end{gathered}$

Required; To find the difference in interest between the two periods.

Step 2

State the formula for simple interest

$A=P(1+rt)$

Step 3

Find the interest when the rate is 8%

$\begin{gathered} A=375000(1+(0.08\times\frac{18}{73}) \\ A=375000(1+\frac{36}{1825}) \\ A=\text{\$}382397.26 \end{gathered}$

Therefore the interest is given as;

$A-P=382397.26-375000=\text{\$}7397.26$

Step 4

Find the interest in 1980 with a 20% rate

$\begin{gathered} A=375000(1+(0.2\times\frac{18}{73}) \\ A=\text{\$}393493.15 \end{gathered}$

The interest is given as;

$A-p=393493.15-375000=\text{\$}18493.15\text{ }$

Step 5

Find the difference in interest between the two rates.

$\text{\$}18493.15-\text{\$}7397.26=\text{\$}11095.89$

Hence, the difference in interest between the two rates = $11095.89

4 0

1 year ago

The blank is the distance around a shape is?

Montano1993 [528]

It is the perimeter.

8 0

3 years ago

Read 2 more answers

SOMEONE PLEASE HELP ME ASAP PLEASE!!!

Alex17521 [72]

Answer:

BC=10

Step-by-step explanation:

BD-BC=14-4=10

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3 years ago

Read 2 more answers

Consider the matrices -2 -1 1 4 1 A = B = 4 -2 4 -2 -2 4 -2 1 -1 (a) Verify that they are diagonalizable and that they commute.

Phoenix [80]

Answer:

Explanation to answers are shown in the attachment

Step-by-step explanation:

This is a long solution but the detailed step by step and appropriate mathematical manipulation has been done as shown in the attachment.

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3 years ago

F(x)=x−5 translated 2 units down

inna [77]

Answer: f(x) = x-7
explanation: the function is already being translated down 5, so subtracting 2 more units leaves you with this new equation

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3 years ago