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3 years ago

You put $16,500 in an investment. After 54 months you have a balance of $19,470. What is the rate of simple interest?

Mathematics

1 answer:

Sauron [17]3 years ago

7 0

Answer:

The interest after 54 month is $2970 and the rate is 4%.

Step-by-step explanation:

The amount of interest gathered in 54 months is equal to the final amount subtracted by the initial one. We have:

interest = 19470 - 16500

interest = $2970

In order to calculate the rate we need to apply the formula for simple interest shown below:

interest = C*r*t

Where C is the initial amount, r is the rate of interest and t is the time elapsed in years. We have:

2970 = 16500*r*(54/12)

2970 = 16500*r*(4.5)

74250*r = 2970

r = 2970/74250

r = 0.04

The rate is r*100% = 4% per year.

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The average thickness of books on a library shelf is 8.3 centimeters. The standard deviation is 0.6 centimeter. If 20% of the bo

jeka57 [31]

Answer:

8.8 cm

Step-by-step explanation:

-We know that the top 20% of the books are oversized.

-We therefore find the z-value of the top 20%:

$z_{0.1}=8.4$

#We substitute the z value in formula to solve X.

$z=\frac{\bar X-\mu}{\sigma}$

Where

X is the minimum thickness of the book.

-Given $\sigma=0.6 \ , \mu=8.3$ , the minimum thickness,X can be calculated as follows:

$z=\frac{\bar X-\mu}{\sigma}\\\\0.84=\frac{\bar X-8.3}{0.6}\\\\\bar X=0.84\times 0.6+8.3\\\\=8.804\approx 8.8\ cm$

Hence, the minimum thickness of the oversized books is 8.8 cm

3 0

4 years ago

-12=24+4b will give Brainly

Phantasy [73]

Answer:

-9 = b

Step-by-step explanation:

-12=24+4b

subtract 24 from both sides

-36 = 4b

divide both sides by 4 to get variable by itself

-9 = b

6 0

3 years ago

Read 2 more answers

What 3 consecutive numbers if the sum is 15333

julsineya [31]

Answer:

$5110, 5111, 5112$

Step-by-step explanation:

Let $x=$ first consecutive number

$x + (x+1)+(x+2) = 15333$ ( $x$ is the first number, $x+1$ would be the second consecutive number of the sequence, and $x+2$ would be the third)

$3x + 3 = 15333$

$3x = 15330$

$x = 5110$

$x+1 = 5110+1$

$= 5111$

$x+2 = 5110 + 2$

$= 5112$

$\therefore$ the consecutive numbers that sum up to $15333$ are $5110, 5111,$ and $5112$

Hope this helps :)

4 0

3 years ago

80. A certain insect has a mass of 75 milligrams.

pickupchik [31]

Since 1 milligram = 0.001 grams you just have to multiply 75 milligram by 0.001 grams in order to get the grams.
75 x 0.001= 0.075 grams so the answer is F.

6 0

4 years ago

The area of the Mojave desert is 25,000 square miles. A scale drawing of the Mojave

padilas [110]

Answer:Given that the area of the mojave desert is 25,000 square miles and a scale drawing of the mojave desert has an area of 10 square inches.

The scale of the map is given by

Therefore, the scale of the drawing is 50 : 1.

Step-by-step explanation:

8 0

4 years ago