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3 years ago

Joe collected 94 stamps altogether. He collected 27 in April and 34 in May. How many did he collect in June?

1 answer:

4 0

If Joe collected 94 stamps which are in April May and June, we could make an equation like this: A + M + J = All stamps

Plug in the values:
$27 + 34 + j = 94$
Isolate J:
$j = 94 - 27 - 34$
Combine like terms:
$j = 33$
He collected 33 stamps in June.

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You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate

DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

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

A is the future value of the investment/loan, including interest
P is the principal investment amount
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ $3000=2000(1+\frac{0.04}{12})^{12t}$

- Divide both sides by 2000

∴ $1.5=(1+\frac{1}{300})^{12t}$

∴ $1.5=(1\frac{1}{300})^{12t}$

- Change the mixed number to an improper fraction

∴ $(1.5)=(\frac{301}{300})^{12t}$

- Insert ㏒ for both sides

∴ $log(1.5)=log(\frac{301}{300})^{12t}$

- Remember $log(a)^{n}=nlog(a)$

∴ $log(1.5)=(12t)log(\frac{301}{300})$

- Divide both sides by $log(\frac{301}{300})$

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

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4 years ago

Divide<br> 4^2 divided by 4^6 =

alekssr [168]

Answer:

Step-by-step explanation:

so you are saying do:

$4^{2} /4^{6}$ which is 16 /4096

16/4096=0.00390625

<u>another way you can do this is</u>

$4^{2} /4^{6}$

just subtract the powers

2-6=-4

so the answer is $4^{-4}$

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Pleaaasssee hellpppp. The farm has cows and turkeys. Between all the animals, there are 148 legs and sixty heads. How many cows

natima [27]

Answer:

Step-by-step explanation:

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For a pair of similar triangles, corresponding sides are always congruent.<br> True or false?

baherus [9]

That's false.
For similar triangles, corresponding angles are congruent.
Corresponding sides are in the same ratio but rarely congruent.
(They're congruent only if the ratio is ' 1 ', i.e. the triangles are congruent
as well as being similar.)

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A manufacturer of mosquito repellent claims that the average amount of time their repellent is effective is at least 3.5 hours.

natta225 [31]

Answer:

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