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koban [17]
3 years ago
5

1. Sarah's current account balance is $2,600. She made a single lump sum amount of

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Answer:

The simple interest that said investment yielded was 3.75% per year.

Step-by-step explanation:

Given that Sarah's current account balance is $ 2,600, and she made a single lump sum amount of $ 2,000 eight years ago into the account, to calculate the equivalent simple interest rate (quoted annually) that she earned the following calculation must be performed:

(2,600 - 2,000) / 8 = X

600/8 = X

75 = X

2,000 = 100

75 = X

75 x 100 / 2,000 = X

7,500 / 2,000 = X

3.75 = X

Thus, the simple interest that said investment yielded was 3.75% per year.

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I need the answers and work for both of those please
MatroZZZ [7]

Answer:

11. D. May 20

12. C. Every 70 bags

Step-by-step explanation:

11.

Mark on the calendar what days she has swimming and what days she has diving. (See picture below) Red is Swimming and blue is diving. For swimming, count by 5s. For diving, count by 3s. Find the next square that has both red and blue on it.

Therefore, she has both swimming and diving lessons on May 20th.

12.

Use least common multiples.

Count by 7s and 10s until there is a number that's the same.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22....... You do not need to count by 2s. This is because you need to have a number that can also be counted to by 10s (a number with 10 as its factor), and 2 reaches all the multiples of 10. It is like 10 already includes 2.

7, 14, 21, 28, 35, 42, 49, 56, 63, 70

10, 20, 30, 40, 50, 60, 70

Therefore, every 70 bags will have all three items.

4 0
3 years ago
5-13)<br> -10-15<br> what’s the equation for the line that passes through points (5,-3) and (-10,15)
umka2103 [35]

Answer: y=-6/5x+3

Step-by-step explanation:

To find the equation of the line that passes through the points, you want to first find the slope by using the formula m=\frac{y_2-y_1}{x_2-x_1}, then solve for the y-intercept.

m=\frac{15-(-3)}{-10-5} =\frac{18}{-15} =-\frac{6}{5}

Now that we have the slope, we can plug in a given point and solve for the y-intercept.

15=-6/5(-10)+b        [multiply]

15=12+b                   [subtract both sides by 12]

b=3

Now that we have the y-intercept, we know the equation is y=-6/5x+3.

7 0
3 years ago
Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents. Movies For Less charges $
Natasha_Volkova [10]

Answer: A) movies for less cost $5 more

Step-by-step explanation:

10 × 3 =30

15 × 2= 30+10=40 movie plus

15 × 3= 45 movies for less

8 0
3 years ago
Read 2 more answers
Helpppppppppp please somebody
marissa [1.9K]
Would for more points
4 0
3 years ago
Read 2 more answers
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0
3 years ago
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