One more question, Will pick brainliest + extra points!! Find x!!

Answers

Answer 1

Answer: Here, as the sides are equal, middle line would be exact half then the longer (bottom) side of the triangle.
48 = 2(3x)
6x = 48
x = 48/6
x = 8

In short, Your Answer would be Option D

Hope this helps!

Answer 2

Answer: Since the triangle ADC is an enlargement of triangle AEB, 48 divided by the enlargement factor will give you 3x.
The enlargement factor is:
= 60/30
= 2

Therefore:

3x = 48/2

3x = 24

3x/3 = 24/3

x = 8

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Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(

Answers

Answer:

Step-by-step explanation:

trust me on this one

Dahlia is trying to decide which bank she should use for a loan she wants to take out. In either case, the principal of the loan will be $19,450, and Dahlia will make monthly payments. Bank P offers a nine-year loan with an interest rate of 5.8%, compounded monthly, and assesses a service charge of $925.00. Bank Q offers a ten-year loan with an interest rate of 5.5%, compounded monthly, and assesses a service charge of $690.85. Which loan will have the greater total finance charge, and how much greater will it be? Round all dollar values to the nearest cent.a.
Loan Q’s finance charge will be $83.73 greater than Loan P’s.
b.
Loan Q’s finance charge will be $317.88 greater than Loan P’s.
c.
Loan P’s finance charge will be $20.51 greater than Loan Q’s.
d.
Loan P’s finance charge will be $234.15 greater than Loan Q’s.

Answers

To solve this, we are going to use the loan payment formula: $P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )$

where

$P$ is the payment

$PV$ is the present debt

$r$ is the interest rate in decimal form

$n$ is the number of payments per year

$t$ is the time in years

For Bank P

We know from our problem that the the principal of the loan will be $19,450, so $PV=19450$ . We also know that Bank P offers a nine-year loan with an interest rate of 5.8%, compounded monthly , so $t=9$ and $r=(5.8)/(100) =0.058$ . Since Dahlia will make monthly payments, and a there are 12 months in a year, $n=12$ . Lets replace the values in our formula:

$P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )$

$P= ( (0.058)/(12)(19450))/(1-(1+ (0.058)/(12))^(-(12)(9)) )$

$P=231.59$

Now we know that the monthly payment of Dahlia is $231.59. Since we know that she is going to make 12 monthly payments for 9 years, we can calculate the future value of the loan multiplying the amount of the monthly payments ($231.59) by the number of monthly payments (12) by the number of years (9):

$FV=(231.59)(12)(9)$

$FV=25011.72$

Now we know that she is is going to pay $25,011.72 for her loan. Finally, to calculate the total finance charge, we are going to subtract the original loan ( $19,450) from the future value of the loan ($25,011.72), and then, we are going to add the service charge ($925.00):

$FinanceCharge=(25011.72-19450)+925$

$FinanceCharge=6486.72$

The total finance charge of bank P is $6,486.72

For Bank Q

We are going to repeat the same procedure as before.

$P=19450$ , $r=(5.5)/(100) =0.055$ , $n=12$ , and $t=12$ . Lets replace the values in our formula:

$P= ( (0.055)/(12)(19450))/(1-(1+ (0.055)/(12))^(-(12)(10)) )$

$P=211.08$

Now that we have our monthly payment, we can calculate the future value of the loan multiplying the amount of the monthly payments ($211.08) by the number of monthly payments (12) by the number of years (10):

$FV=(211.08)(12)(10)$

$FV=25329.6$

Just like before, to calculate the total finance charge, we are going to subtract the original loan ( $19,450) from the future value of the loan ($25,329.6), and then we are going to add the service charge ($690.85):

$FinanceCharge=(25329.6-19450)+690.85$

$FinanceCharge=6570.45$

The total finance charge of bank Q is $6570.45

Notice that the finance charge of ban Q is greater than the finance charge of bank P, so we are going to subtract the finance charge of bank Q from the finance charge of bank P:

$6570.45-6486.72=83.73$

We can conclude that Loan Q’s finance charge will be $83.73 greater than Loan P’s. Therefore, the correct answer is a.

Answer:

a. Loan Q’s finance charge will be $83.73 greater than Loan P’s.

Step-by-step explanation:

Rewrite the expression in the form a^n a^5xa^-3

Answers

Answer: a^2

Work Shown:

I'm assuming the "x" means "multiply", and it is not a variable.

a^5 * a^(-3) = a^(5+(-3)) = a^(5-3) = a^2

The rule I'm using is

a^b*a^c = a^(b+c)

The base is always the same. We add the exponents.

The expression a^2 is in the form a^n with n = 2.

Is 0.7 greater than 0.75 or less than 0.25

Answers

.70 is not greater than .75 but it is greater than .25!

A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot? A) 16 feet
B) 17 feet
C) 18 feet
D) 19 feet