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3 years ago

14

If $1500 grows to $1950 after 5 years find the interest rate

1 answer:

vladimir1956 [14]3 years ago

5 0

The intrest rate would be 80$ a year or based on what the queetion is asking specificay 80$ a month

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What is 8 1/2 x 3 = <br>please help

ludmilkaskok [199]

Answer:

C

Step-by-step explanation:

Convert 8 1/2 to 17/2 and this multiplied by 3 is 51/2. Convert it back to mixed fraction to get 25 1/2.

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2 years ago

Which equation shows the commutative property of addition?

anygoal [31]

Answer:

4+3=3+4

Step-by-step explanation:

The commutative property of addition says that, the order in which you add two real numbers does not matter.

Let $a,b\in \mathbb R$ , then

a+b=b+a

From the given options;

4+3=3+4

shows the commutative property of addition

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3 years ago

Which number line shows a fraction equivalent to 4.5?

Alchen [17]

The forth picture is the one that represents 4.5

3 0

3 years ago

Read 2 more answers

There are some Nichols dimes and quarters in a large piggy bank for every two nickels there a sweetheart forever to Diane’s ther

grigory [225]

Answer:

There are 80 nickels, 120 dimes and 300 quarters in the piggy bank.

All coins in the piggy bank worth $91.

Step-by-step explanation:

Please consider the complete question:

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total. How many nickels, dimes, and quarters are in the piggy bank? Explain your reasoning. How much are the coins in the piggy bank worth?

Let n, d, q represent number of nickles, dimes and quarters respectively.

For every 2 nickels there are 3 dimes. We can represent this information in an equation as:

$\frac{2}{n}=\frac{3}{d}...(1)$ or

$n=\frac{2d}{3}...(1)$

For every 2 dimes there are 5 quarters. We can represent this information in an equation as:

$\frac{2}{d}=\frac{5}{q}...(2)$ or

$q=\frac{5d}{2}...(2)$

There are 500 coins total. We can represent this information in an equation as:

$n+d+q=500...(3)$

We will use substitution method to solve our given system.

Upon substituting equation (1) and equation (2) in equation (3), we will get:

$\frac{2d}{3}+d+\frac{5d}{2}=500$

Multiply the equation by 6:

$\frac{2d}{3}*6+d*6+\frac{5d}{2}*6=500*6$

$2d*2+6d+5d*3=3000$

$4d+6d+15d=3000$

$25d=3000$

$\frac{25d}{25}=\frac{3000}{25}$

$d=120$

Therefore, there are 120 dimes in the piggy bank.

Upon substituting $d=120$ in equation (1), we will get:

$n=\frac{2(120)}{3}$

$n=2(40)$

$n=80$

Therefore, there are 80 nickels in the piggy bank.

Upon substituting $d=120$ in equation (2), we will get:

$q=\frac{5d}{2}$

$q=\frac{5(120)}{2}$

$q=5(60)$

$q=300$

Therefore, there are 300 quarters in the piggy bank.

Now, we need to find the value of all coins.

We know 1 quarter is worth $0.25, so 300 quarters will be worth $\$0.25\times 300=\$75$ .

We know 1 dime is worth $0.10, so 120 dimes will be worth $\$0.10\times 120=\$12$ .

We know 1 nickel is worth $0.05, so 80 nickels will be worth $\$0.05\times 80=\$4$ .

$\text{All coins worth}=\$75+\$12+\$4$

$\text{All coins worth}=\$91$

Therefore, all coins in the piggy bank worth $91.

7 0

3 years ago

What is 2 1/4 ÷ 1/2=

marshall27 [118]

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

$2\frac{1}{4}$ ÷ $\frac{1}{2}$ = $\frac{9}{4}$ ÷ $\frac{1}{2}$

Now use K C F method

K - Keep the first fraction

C - Change the division operation to multiplication

F- Flip the second number

$= \frac{9}{4} *\frac{2}{1}\\\\= \frac{9}{2}*1\\\\= \frac{9}{2}\\\\= 4 \frac{1}{2}$

4 0

2 years ago