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2 years ago

The sum of three consecutive odd numbers is 33. What is the smallest of three numbers

Mathematics

1 answer:

Shkiper50 [21]2 years ago

7 0

Answer:

Step-by-step explanation:

The smallest of 3 consecutive odd numbers is 9 because 9 + 11 + 13 = 33

9 is the smallest of the 3

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Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account

Diano4ka-milaya [45]

Answer:

$\$180.55$

Step-by-step explanation:

step 1

Simple interest

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04$

substitute in the formula above

$A=2,250(1+0.04*10)$

$A=2,250(1.4)$

$A=\$3,150$

step 2

Interest compounded annually

we know that

The compound interest formula is equal to

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

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1$

substitute in the formula above

$A=2,250(1+\frac{0.04}{1})^{1*10}$

$A=2,250(1.04)^{10}$

$A=\$3,330.55$

step 3

Find the differences between the two final amounts

$A=\$3,330.55-\$3,150=\$180.55$

5 0

3 years ago

What is the value of K?

sladkih [1.3K]

Answer: its A

Step-by-step explanation:

Because

3 0

3 years ago

Two sides of a parallelogram are 500 feet and 790 feet. The measure of the angle

Nat2105 [25]

Answer:

215117 ft²

Step-by-step explanation:

Assumed the base is the longer side.

The height of the parallelogram is:

h/500 = sin 33°
h = 500 sin 33°
h = 272.3 ft

The area is:

A = bh
A = 790*272.3 = 215117 ft²

3 0

3 years ago

Read 2 more answers

Increase 270 by 20%

Nana76 [90]

Answer:

first find 20 percent of 270

270 times 20 divided by 100

5400 divided by 100

270 plus 54

324 is your final answer

-hope this helps!

5 0

3 years ago

Read 2 more answers

Simplify 4+(9×2)÷(4-2)+1

kogti [31]

First we have to work out everything inside the parentheses (according to PEMDAS):

9 × 2 = 18

4 - 2 = 2

Now, we can rewrite the expression:

4 + 18 ÷ 2 + 1

According to PEMDAS, we should complete the division in the middle first:

18 ÷ 2 = 9

Now we can rewrite the expression again:

4 + 9 + 1

And now it's as simple as just adding the three numbers together:

4 + 9 + 1 = 14

Your final answer is 14. :)

3 0

3 years ago

Read 2 more answers