Please include Work!!!

You deposit $300 in a savings account. The account earns 2% simple interest per year. What is the interest and balance earned af

kenny6666 [7]

Answer:

$365.70

Step-by-step explanation:

The formula to find this is $y = a(1+r)^t\\$

For this, a is the initial amount, r is the growth rate percentage (but displayed as a decimal), and t is time.

So to solve, you would do

$y = 300(1+0.02)^10\\y = 300(1.02)^10\\y = 365.698325998\\OR\\y = $365.7 in interest$

6 0

3 years ago

A school has a virus going around, and 8/25 of the students are absent due to the virus. An additional 20 students are out due t

Stells [14]

Answer:

268 students are absent

Step-by-step explanation:

First, multiply 775 by (8/25) to get the number of students out from the virus (probably weren't wearing masks or 6 ft apart from each other). This gives you 248 students. You also know that an additional 20 students are out due to other reasons. Add 248 and 20 and you get a total of 268 absent students.

3 0

3 years ago

The ideal width of a safety belt strap for a certain automobile is 6 cm. The actual width can vary by at most 0.45 cm. Write an

OlgaM077 [116]

Answer:

$|x-6|\le 0.45$

$x\in [5.55,6.45]$

Step-by-step explanation:

<u>Absolute Value Inequality</u>

Assume the actual width of a safety belt strap for a certain automobile is x. We know the ideal width of the strap is 6 cm. This means the variation from the ideal width is x-6.

Note if x is less than 6, then the variation is negative. We usually don't care about the sign of the variation, just the number. That is why we need to use the absolute value function.

The variation (unsigned) from the ideal width is:

$|x-6|$

The question requires that the variation is at most 0.45 cm. That poses the inequality:

$|x-6|\le 0.45$

That is the range of acceptable widths. Let's now solve the inequality.

To solve an inequality for an absolute value less than a positive number N, we write:

$-0.45\le x-6 \le 0.45$

This is a double inequality than can be easily solved by adding 6 to all the sides.

$-0.45+6\le x \le 0.45+6$

Operating:

$5.55\le x \le 6.45$

That is the solution in inequality form. Expressing in interval form:

$\boxed{x\in [5.55,6.45]}$

3 0

4 years ago

Subtract 9y - 3 from 6y +1

Alexus [3.1K]

Answer: 3y +2

Step-by-step explanation:

3 0

4 years ago

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How can you determine if the association on scatter plot is strong or weak

wlad13 [49]

Answer:

We say that a strong negative association exists between the variables x and y. Consider the following scatterplot: We observe that y increases as x increases, and the points do not lie on a straight line. We say that a weak positive association exists between the variables x and y.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers