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irga5000 [103]
3 years ago
8

how much must you deposit in an account that pays 8% annual interest compounded monthly to have a balance of $1,000 after one ye

ar​
Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0

Answer:

\$923.36  

Step-by-step explanation:

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=1\ year\\ A=\$1,000\\ r=0.08\\n=12  

substitute in the formula above  and solve for P

\$1,000=P(1+\frac{0.08}{12})^{12*1}  

P=\$1,000/(1+\frac{0.08}{12})^{12*1}=\$923.36  

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How long will it take a person to walk from Toronto to
storchak [24]

Answer:

About 947 hours, walking at 5 km (3 miles)/hour.

Walking 8 hours /day [at that pace you would need to be an Olympic Athlete to keep up the pace] it will take about four months.

Walk slower, it will take longer.

4 0
2 years ago
Someone good with trigonometry please help
serg [7]
Tan(52°) = opposite/adjacent = x/35  ⇒ 

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3 0
3 years ago
TOPIC: Forming and Solving Equations (An equation must be included as well please)
Tatiana [17]
1) let both have x ,
so putting in eqn ;

4x+0.50 = 9x-3
5x=2.50
x=0.50

therefore both have 50 p in the beginning !!

2) let the number be x

so in eqn;

(x+18)/2=5x
x+18=10x
9x=18
x=2

so the number must be 2 !!


if you have still any problem, comment !!
6 0
3 years ago
Read 2 more answers
Find the value of X PLEASE HELP ME!!
Kisachek [45]

Answer:

A, or 8

Step-by-step explanation:

the total angle is 102, so we can subtract 54 from 102 to get 6x, then divide by 6.

102 -54 = 48/6 =8

3 0
2 years ago
Paul's mom sent him to the grocery store with $10 to buy bread and cheese for sandwiches. Paul picked out a loaf of bread that c
lutik1710 [3]

Given:

Total amount = $10

Cost of loaf of bread = $3.25

Cost of cheese = $5.99 per pound

Each slice weights = 0.04 pounds.

To find:

The inequality for the number of slices that Paul can afford to buy.

Solution:

Let x be the number of slices that Paul can afford to buy.

Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.

Cost of cheese = $5.99 per pound

So, total cost of cheese for x slices = $5.99 × 0.04x

Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.

3.25+(5.99\times 0.04x)\leq 10

0.2396x\leq 10-3.25

0.2396x\leq 6.75

Divide both sides by 0.2396.

x\leq \dfrac{6.75}{0.2396}

x\leq 28.172

The maximum integer value of x is 28.

Therefore, the required inequity is 3.25+(5.99\times 0.04x)\leq 10 and 28 number of slices Paul can afford to buy.

6 0
3 years ago
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