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3 years ago

Guys please solve this problem Someone told me the answer is p=11 but didn’t solve the problem. PLEASE

Mathematics

2 answers:

Sladkaya [172]3 years ago

5 0

Answer:

Alexxx [7]3 years ago

3 0

Answer:

So you have to interior angles so let's do the following

5p+1=12+4p
p= 11

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GC - If the principal amount of money put into a bank is $2000 with a 3.5% rate compounded quarterly, what is the amount after 6

alisha [4.7K]

Given:

Principal amount = $2000

Rate of interest = 3.5% compounded quarterly.

Time = 6 years

To find:

The amount after 6 years.

Solution:

The formula for amount after compound interest is:

$A=P\left(1+\dfrac{r}{n}\right)^{nt}$

Where, P is principal, r is rate of interest in decimal, n is the number of time interest compounded in an year and t is the number of years.

The interest is compounded quarterly, so $n=4$ .

Substituting $P=2000,r=0.035,n=4,t=6$ , we get

$A=2000\left(1+\dfrac{0.035}{4}\right)^{4(6)}$

$A=2000\left(1+0.00875\right)^{24}$

$A=2000\left(1.00875\right)^{24}$

$A=2465.10340$

Approximate the value to the nearest hundredth.

$A\approx 2465.10$

The amount after 6 years us $2465.10. Therefore, the correct option is A.

4 0

3 years ago

Stephanie took a science exam that had two parts.

patriot [66]

Answer:

44 questions

Step-by-step explanation:

Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions.

Let x = total number of questions in part 1

4/5x = 16

Divide both sides by 4/5

x = 16 ÷ 4/5

= 16 × 5/4

= 20

x = 20

There are 20 questions in part 1

She got 16 questions correct, which was 2/3 of the number of part 2 questions.

Let y = number of questions in part 2

2/3y = 16

Divide both sides by 2/3

y = 16 ÷ 2/3

= 16 × 3/2

= 24

y = 24

There are 24 questions in part 2

The total number of questions on Stephanie’s exam = part 1 + part 2

= 20 + 24

= 44 questions

8 0

3 years ago

Solve the system of equations algebraically.

nordsb [41]

Answer: D

Step-by-step explanation:

$4x-3y=8\\5x-4y=5$

Let's take one of the equations and solve for a variable to use the substitution method.

$5x-4y=5\\5x=5+4y\\x=\frac{5+4y}{5}$

Now replace this in the first equation.

$4x-3y=8\\4(\frac{5+4y}{5})-3y=8\\\frac{20+16y}{5}-3y=8$

Separate the terms.

$\frac{20}{5}+\frac{16y}{5}-3y=8$

Solve 20/5

$4+\frac{16y}{5}-3y=8$

Subtract 4 from both sides to isolate y.

$4-4+\frac{16y}{5}-3y=8-4$

$\frac{16}{5}y-3y=4$

Solve the difference.

$\frac{16-(3)(5)}{5}y=4\\$

$\frac{16-15}{5} y=4$

$\frac{1}{5}y=4$

Multiply by the reciprocal or the inverted fraction that is next to y to isolate it.

$(\frac{5}{1} )(\frac{1}{5})y=4(\frac{5}{1})$

$y=20$

Now, in order to find x, replace y in any of the two equations.

$5x-4y=5\\5x-4(20)=5\\5x-80=5\\5x=5+80\\5x=85\\x=\frac{85}{5}\\x=17$

7 0

3 years ago

I got my question as 4r-2r=5-3r, how do i solve this

Karolina [17]

Here, I wore it down and took a picture of it.

8 0

4 years ago

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Andrew walks 3/4 mile in 10 minutes. Jill walked 4/5 mile in 15 minutes. What was the difference in their speeds, in miles per h

andreyandreev [35.5K]

The difference of their speeds is 1.3 mph because Andrew was walking 4.5 mph and Jill was walking 3.2mph.

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3 years ago