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3 years ago

-3(x+4)+15=6-4y how to do this

1 answer:

5 0

Multiply -3 to x and get -3x and multiply 4 and -3 and get -12 so then subtract -12 and 15 and get -3 so now it is -3x-3=6-4y so now. You subtract -3 and 6 and get positive 3 so now the final answer is -3x-4y+3

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Find the exact circumference of the circle. please help?<br>

Bogdan [553]

Answer:

3rd option

Step-by-step explanation:

We first need to find the diameter of the circle.

We know this is a square because all sides are marked by a line so this means they are equal. Let find the diagonal of the square to find all parts of the square.

The diagonal of a square is

$a \sqrt{2}$

where a is the side lengths of the square.

So this means the diagonal of the square is

$18 \sqrt{2}$

The diagonal is also the diameter of the main circle. The formula for circumference is

$d\pi$

where d is the diameter.

So the diameter is

$(18 \sqrt{2} )\pi$

$18\pi \sqrt{2}$

The third option is correct

7 0

3 years ago

WORTH 100 POINTS PLEASE HELP

White raven [17]

Answer:

The first one.

Step-by-step explanation:

A solid figure is a closed shape. If you do mental calculation, the first one is the only one that is solid, or closed.

4 0

2 years ago

Jim saw that other bank offered the same rates but compounded the interest more often. Consider if he still put $15,000 into a s

Kazeer [188]

Compound interest is the addition of interest on the interest of the principal amount.

<h3>What is compound interest?</h3>

Compound interest is the addition of interest on the interest of the principal amount. It is given by the formula,

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

As it is given that the principal amount is $15,000; while the rate of interest is 2.8%, and the amount is invested for a period of 5 years.

A.) When the interest is charged weekly,

As we know that there are 52 weeks in a year, therefore, n = 52, substitute the values,

$A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{52})^{52 \times 5}\\\\A = \$17,253.46$

B.) When the interest is charged daily,

As we know that there are 365 days in a year, therefore, n = 365, substitute the values,

$A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{365})^{365 \times 5}\\\\A = \$19,554.55$

C.) When the interest is charged Continuously,

As we know that the formula for continuous compounding is given as,

$A = Pe^{rt}$

Substitute the values, we will get,

$A = 15000 \times (e^{0.024 \times 5})\\\\A= \$16,912.45$

D.) When the interest is charged Monthly,

As we know that there are 12 months in a year, therefore, n = 12, substitute the values,

$A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{12})^{12\times 5}\\\\A = \$15211.23$

E.) When the interest is charged Semi-annually,

As we know that the interest is charged Semi-annually, therefore, n = 2, substitute the values,

$A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{2})^{2\times 5}\\\\A = \$17,237.36$

F.) When the interest is charged Quarterly,

As we know that the interest is charged Quarterly, therefore, n = 4, substitute the values,

$A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{4})^{4\times 5}\\\\A = \$17,245.7$

Learn more about Compound Interest:

brainly.com/question/25857212

4 0

3 years ago

Read 2 more answers

:( I Need help! Show work please! Aviva has a total of 52 coins, all of which are either dimes or nickels. The total value of th

Jet001 [13]

Answer:

42 Dimes, 10 Nickels.

Step-by-step explanation:

Dimes are worth $0.10, nickels are worth $0.05.

If D = number of dimes, and N = number of nickels, then the following equations are true:

0.10D + 0.05N = 4.70

D + N = 52

Next, let's multiply the first equation by 10 so that we can subtract the second one from it.

D + 0.50N = 47

(-) D + N = 52

Subtracting the second equation from the first one gives:

-0.5N = -5

-0.5N/-0.5 = -5/-0.5

N = 10

Finally, substitute N in the original second equation to find D.

D + 10 = 52

D + 10 - 10 = 52 - 10

D = 42

5 0

3 years ago

If the pattern continues, how many cups of milk does George need to make 6 batches of muffins? Explain how you found your answer

maks197457 [2]

First of all, you have to find the common difference between the numbers. That will be;
3/4-3/8=1 1/2-1 1/8
In the case of 1 1/2-1 1/8, the two whole numbers will subtract each other(1-1)
That will leave you with 1/2-1/8
3/4-3/8=1/2-1/8
The common denominator in both cases is 8
In 3/4-3/8
Divide 8 by 4 and multiply by 3 which will be 6
Divide 8 by 8 and multiply by 3. That will be 3
So you have; 6-3/8
Which is 3/8
If you do the same to 1/2-1/8, you will still end up with 3/8
Next, to find the fraction required to make 6 batches, you need to add 3/8 to the last term to the last term
1 1/2+3/8
3/2+3/8=12+3/8
15/8. This is the fifth batch. Add 3/8 again to get the sixth batch
15/8+3/8=15+3/8
18/8
Which is 9/4 when divided. The sixth batch is 9/4 or 2 1/4 in mixed fraction
Hope that helped. Have a nice day

8 0

3 years ago