MATHEMATICS HIGH SCHOOL

Find the area of the parallelogram by composing into rectangles or decomposing into triangles or other shapes as needed. 8 yd 6 yd 15 yd10 yd

Answers

Answer 1

Answer:

Answer:

Below.

Step-by-step explanation:

The area = area of a rectangle on the same base and between the same parallel lines

= (15 + 6) * 8

= 21 * 8

= 168 yd^2.

Answer 2

Answer:

Answer:

160

Step-by-step explanation:

First, you add 15 + 6 multiplied by 8.

Expression (15 + 6) x 8=?

First, add the expression in the prentice.

15 + 6= 21

Cut out the 10. Why? Because it says make it a triangle. If u did it the other

way it wouldn't make sense.

then multiply 21 and 8

that gives you 160

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Modrater give me answer

if 2x- 35273 = 5361925 than find the value of 1x

Answers

Answer:

$2x - 35273 = 5361925 \n 2x = 5361925 + 35273 \n 2x = 5397198 \n x = (5397198)/(2) \n x = 2698599$

$\displaystyle\ 2x-35273=5361925\n\n2x=53\underline{61925}+\underline{35273} \n\n2x=5397198\n\n\nx=(5397198)/(2) =2698599\n\n\underline{x=2698599\qquad }\n\n2\cdot 2698599-35273=5361925\n\n5397198-35273=5361925\n\n5361925=5361925$

Ind the slope of the line passing through the given points, when possible. (If an answer Js undefined, enter UNDEFINED. ) (-1,-15) and (6,-15)

Answers

Answer:

slope = 0

Step-by-step explanation:

calculate the slope m using the slope formula

m = $(y_(2)-y_(1) )/(x_(2)-x_(1) )$

let (x₁, y₁ ) = (- 1, - 15 ) and (x₂, y₂ ) = (6, - 15 )

substitute these values into the formula for m

m = $(-15-(-15))/(6-(-1))$ = $(-15+15)/(6+1)$ = $(0)/(7)$ = 0

Allie deposited $300.00 into a new savings account that earns 13% interest compounded quarterly. How long will it take for the balance to grow to $995.00? Round your answer to the nearest month. years and months

Answers

Answer:

9 years 4 months

Step-by-step explanation:

To find out how long it will take for Allie's initial deposit of $300to grow to $995 in a savings account with a 13% annual interest rate compounded quarterly, we can use the compound interest formula:

$\boxed{\begin{array}{l}\underline{\textsf{Compound Interest Formula}}\n\nA=P\left(1+(r)/(n)\right)^(nt)\n\n\textsf{where:}\n\phantom{ww}\bullet\;\;\textsf{$A$ is the final amount.}\n\phantom{ww}\bullet\;\;\textsf{$P$ is the principal amount.}\n\phantom{ww}\bullet\;\;\textsf{$r$ is the interest rate (in decimal form).}\n\phantom{ww}\bullet\;\;\textsf{$n$ is the number of times interest is applied per year.}\n\phantom{ww}\bullet\;\;\textsf{$t$ is the time (in years).}\end{array}}$

In this case:

A = $995
P = $300
r = 13% = 0.13
n = 4 (quarterly)

Substitute the values into the formula and solve for t:

$995=300\left(1+(0.13)/(4)\right)^(4t)$

Simplify the expression inside the bracket:

$995=300\left(1.0325\right)^(4t)$

Divide both sides of the equation by 300:

$(995)/(300)=\left(1.0325\right)^(4t)$

Take natural logs (ln) of both sides of the equation:

$\ln\left((995)/(300)\right)=\ln\left(1.0325^(4t)\right)$

$\textsf{Apply the power law:} \quad \ln x^n=n \ln x$

$\ln\left((995)/(300)\right)=4t\ln\left(1.0325\right)$

Divide both sides of the equation by 4ln(1.0325) to isolate t:

$(\ln\left((995)/(300)\right))/(4\ln\left(1.0325\right))=t$

$t=(\ln\left((995)/(300)\right))/(4\ln\left(1.0325\right))$

Evaluate using a calculator:

$t=9.37184241...$

Therefore, it will take 9.37 years for the balance to grow to $995.00.

To determine the number of months, subtract 9 from the value of t and multiply by 12:

$\textsf{Months}=12(9.37184241...-9)=4.46210895...$

Therefore, it will take 9 years and 4 months (rounded to the nearest month) for the balance to grow to $995.00.

Additional comments

In the case of quarterly compounding, the interest is calculated and added to the account balance every three months (once every quarter). So, even though it will take 9 years and 4 months for the balance to reach $995.00, Allie's account will not show this exact amount at that specific time. It will show a balance of $979.61 at 9 years and 3 months, and a balance of $1,011.45 at 9 years and 6 months, so technically, the account balance will still show as $979.61 at 9 years and 4 months.

Answer:

9 years and 4 months

Step-by-step explanation:

In order to calculate the number of years and months it will take for Allie's savings account balance to grow to $995.00, we can use the following compound interest formula:

$\sf A = P\left(1 + (r)/(n)\right)^(nt)$

where:

A is the future value
P is the present value
r is the annual interest rate
n is the number of compounding periods per year
t is the number of years

We can use the following values for the variables in the formula:

P = $300.00

r = 13% = 0.13

n = 4 (compounding quarterly)

A = $995.00

Substituting value, we get

$\sf 995 = 30000\left(1 + (0.13)/(4)\right)^(4\cdot t)$

$\sf 995 = 300.00\left(1.0325\right)^(4\cdot t)$

$\sf (995)/(300)=\left(1.0325\right)^(4\cdot t)$

$\sf 3.316 = \left(1.0325\right)^(4\cdot t)$

In order to solve the exponential equation, we can take the natural log of both sides:

$\sf ln(3.316) = ln(1.0325) ^ {4t}$

Using the properties of logarithms, we can bring the exponent down in front of the log:

$\sf 4t * ln(1.0325) = ln(3.316)$

Dividing both sides by ln(1.0325), we get:

$\sf t =( ln(3.316) )/(4ln(1.0325))$

Evaluating this expression, we get:

$\sf t = 9.3702710709672$

In the nearest hundred:

$\sf t \approx 9.37$

Therefore, year = 9 year

month = 37% of 12 = 4.44≈ 4 month

So, it will take Allie 9 years and 4 months for her savings account balance to grow to $995.00.

Which ordered pair is a solution of the equation y = 5x? (–2, 10) (–5, 25) (–3, 15) (–2, –10)

Answers

the answer is (-2,-10) you just need to plug them in.

On a line segment B is between AC and C is between B and D using the segment addition postulate if AB=7 AC=15 AD=32 what does BC BD and CD equal

Answers

Answer:

BC = 8

BD = 24

CD = 17

Step-by-step explanation:

First i found that I know AB is 7 and AC is 15 so i realize AB is part of AC so I subtract AB from AC for the difference and got the rest using the same logic

If you dont mind a thx 5 star and brainliest is greatly appreciated trying to hit next level and need 5 more brainliest

AB+AC=BC
7+15=BC
BC=22

AB+AD=BD
7+32=BD
BD=39

AC+AD=CD
15+32=CD
CD=47

Provide a counterexample for the following statement: "The product of two irrational numbers is always irrational."

Answers

Answer:

Step-by-step explanation:

We know that root 2 is irrational, but root 2 times root 2 is 2, which is rational.

Hope this helped!!!

Find the area of the parallelogram by composing into rectangles or decomposing into triangles or other shapes as needed. 8 yd 6 yd 15 yd10 yd​

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Find the area of the parallelogram by composing into rectangles or decomposing into triangles or other shapes as needed. 8 yd 6 yd 15 yd10 yd