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romanna [79]
3 years ago
12

Tristan wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3% and t

he other bank is offering a rate of 2.5%
compounded annually. If Tristan decides to deposit $7,000 for 4 years, which bank would be the better deal?
Mathematics
1 answer:
Mrrafil [7]3 years ago
6 0

Answer:

The better deal would be simple interest rate of 3%

Step-by-step explanation:

In order to calculate which bank would be the better deal If Trsitam decides to deposit $7,000 for 4 years, we would have to make the following calculation:

simple interest rate of 3%.

Therefore, I= P*r*t

=$7,000*3%*4

I=$840

FV= $7,000+$840

FV=7,840

compound interest rate of 2.5%

Therefore, FV=PV(1+r)∧n

FV=$7,000(1+0.25)∧4

FV=$17,089

The better deal would be simple interest rate of 3%

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First, find the mean. You'll need it to compute the variance.

\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11

The variance of the sample is then computed with the formula

s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5

The standard deviation is the square root of the variance, so

s=\sqrt{35.5}\approx5.958
5 0
3 years ago
The ratio of the number of men to the number of women in a sports club is 5:2.
user100 [1]

Let the number of men and the number of women in the beginning be x and y

Now,\sf  \frac{x} {y} =\frac{5}{2} \\\\\sf=2x=5y \\\\\sf=x=\frac{5y}{2}

Now, In 2nd case,

No. Of men=x-63 and no. Of women =y-12

Now,the ratio becomes\frac{x-63}{y-12}=\frac{7}{4} \\\\\sf=4(x-63)=7(y-12) \\\\\sf=4x-252=7y-84 \\\\\sfPutting,\:x=\frac{5y}{2}\:in\: 4x-252=7y-84\:we\: get, \\\\\sf10y-252=7y-84 \\\\\sf=10y-7y=252-84 \\\\\sf=3y=168 \\\\\sf=y=56 \\\\\sf=\boxed{Y=56}

Now,we have, 2x=5y

Putting the value of Y=56 in 2x=5y,we get,

\sf 2x=5\:x\:56 \\\\\sfx=\frac{5\:x\:56}{2} \\\\\sfx=\frac{5\:x\: \cancel{56}\:\:28}{ \cancel{2}} \\\\\sf=x=5\: x\: 28 \\\\\sfx=140 \\\\\sf\boxed{x=140}

Hence, the number of men was 140 and the no. of women was 56

Hi...I am from India.. Where are you from?

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3 years ago
Ellie fills her car with 14.297 gallons of gas. Alivia fills her car with 14.209 gallons of gas.write an inequality statement co
lapo4ka [179]
14.297 > 14.209. Hope this helps and if you leave a braniest answer simble that would help lots thank you :)
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3 years ago
Read 2 more answers
If a circle has a diameter of 24 inches, which expression gives its area in
nexus9112 [7]

Answer:

D. 12²•π

Step-by-step explanation:

Area of a circle = πr²

Radius (r) = ½ of diameter = ½*24 = 12 inches

Plug in the value into the area

Area = π * (12)²

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What fraction of 6 is 2 1/4 ?
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Answer:

13 1/2

Step-by-step explanation:

this is surely the answer. 13.5

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