13x+3 + 9x +1 what is this equation?

What is the LCM of 11 and 44

Katarina [22]

The Least common multiple of 11 and 44 is 44

7 0

3 years ago

Read 2 more answers

Find the amount in the bank after 7 years if interest is compounded quarterly?

qwelly [4]

Answer:

a) amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

Step-by-step explanation:

We are given:

Principal Amount P= 5000

Rate r= 4% = 0.04

time t = 7 years

The formula used is: $A=P(1+\frac{r}{n})^{nt}$

where A is future value, P is principal amount, r is rate, n is compounded value and t is time

a) Find the amount in the bank after 7 years if interest is compounded quarterly?

If interest is compounded quarterly then n = 4

Using values given in question and finding A

$A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{4})^{4*7} \\A=5000(1+0.01)^{28}\\A=5000(1.01)^{28}\\A=5000(1.321)\\A=6,605$

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) Find the amount in the bank after 7 years if interest is compounded monthly?

If interest is compounded quarterly then n = 12

Using values given in question and finding A

$A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{12})^{12*7} \\A=5000(1+0.003)^{84}\\A=5000(1.003)^{84}\\A=5000(1.322)\\A=6,612.57$

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

6 0

3 years ago

The midpoint of line segment AB is (-2,1). If the coordinates of B are (0,2) what are the coordinates of A?

Whitepunk [10]

The required coordinate of A will be at (-4, 0)

When a point bisects a line, it cuts the line into two equal parts and the point on that line is known as its midpoint. The expression for calculating the midpoint of a line is expressed as;

$M(X, Y)= [{ \frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} ]$ where:

$X =\frac{x_2+x_1}{2} \\Y=\frac{y_2+y_1}{2}$

From the question, we are given the following coordinate points

$X=-2\\x_1=0\\$

Get x₂;

$X =\frac{x_2+x_1}{2}\\-2 =\frac{x_2+0}{2}\\2 \times -2=x_2+0\\-4=x_2\\ Swap\\x_2=-4\\$

Get y₂;

$Y =\frac{y_2+y_1}{2}\\1 =\frac{y_2+2}{2}\\2 \times 1=y_2+2\\2=y_2+2\\y_2=2-2\\y_2=0$

Hence the coordinate of A will be (-4, 0)

Learn more about the midpoint here: brainly.com/question/18315903

3 0

3 years ago

Mrs. Myles wants to know if her students prefer multiple choice or short answer tests. What question would be MOST appropriate t

djverab [1.8K]

Answer: The answer is multiple choice questions.

Step-by-step explanation: Given that Mrs. Myles wants to know if her students prefer multiple choice or short answer tests.

According to me, Mrs. Myles should ask her students multiple choice questions, because in these type of questions, we get information not only about the correct option but it also reminds us what the incorrect options are related to.

So, these questions are better than short answers which are related to only one topic rather than three or four in the queue for multiple choice questions.

Thus, Mrs. Myles should ask her students multiple choice questions.

5 0

4 years ago

Read 2 more answers

Teach me how to ''write each rational number in a form a/b where a and b are integers

Vesna [10]

Write the number over its next next factor of 10. Then multiply by 10s to get rid of the decimal (if there is). Then just simplify.

8 0

3 years ago