Ask question

Ask question

All categories

3 years ago

12

Mrs. Scott opened an account with a deposit of $1,750. The bank pays 5% annual simple interest on this account. Mrs. Scott makes

no additional deposits or withdrawals. How much interest will the account have earned at the end of 2 years?

1 answer:

Korolek [52]3 years ago

3 0

Answer:

At the end of two years Mrs.Scott earned $1929.36 (i rounded the dec.)

Step-by-step explanation:

A= p(1+r)^t

P= 1750

r= .05

t= 2

A= 1750(1+.05)^2

A= 1929.375

You might be interested in

A survey of 160 students is taken to determine whether they play sports and whether they have a job. Of the 71 students who play

Iteru [2.4K]

Answer:

The answer is 44- so B

Step-by-step explanation:

I did the quiz, and that was the correct answer. ( Also I took this on goformative.)

3 0

2 years ago

If the average yield of cucumber acre is 800 kg, with a variance 1600 kg, and that the amount of the cucumber follows the normal

lorasvet [3.4K]

Answer:

a

The percentage is

$P(x_1 < X < x_2 ) = 51.1 \%$

b

The probability is $P(Z > 2.5 ) = 0.0062097$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 800$

The variance is $var(x) = 1600 \ kg$

The range consider is $x_1 = 778 \ kg \ x_2 = 834 \ kg$

The value consider in second question is $x = 900 \ kg$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{var (x)}$

substituting value

$\sigma = \sqrt{1600}$

$\sigma = 40$

The percentage of a cucumber give the crop amount between 778 and 834 kg is mathematically represented as

$P(x_1 < X < x_2 ) = P( \frac{x_1 - \mu }{\sigma} < \frac{X - \mu }{ \sigma } < \frac{x_2 - \mu }{\sigma } )$

Generally $\frac{X - \mu }{ \sigma } = Z (standardized \ value \ of \ X)$

So

$P(x_1 < X < x_2 ) = P( \frac{778 - 800 }{40} < Z< \frac{834 - 800 }{40 } )$

$P(x_1 < X < x_2 ) = P(z_2 < 0.85) - P(z_1 < -0.55)$

From the z-table the value for $P(z_1 < 0.85) = 0.80234$

and $P(z_1 < -0.55) = 0.29116$

So

$P(x_1 < X < x_2 ) = 0.80234 - 0.29116$

$P(x_1 < X < x_2 ) = 0.51118$

The percentage is

$P(x_1 < X < x_2 ) = 51.1 \%$

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

$P(X > x ) = P(\frac{X - \mu }{\sigma } > \frac{x - \mu }{\sigma } )$

substituting values

$P(X > x ) = P( \frac{X - \mu }{\sigma } >\frac{900 - 800 }{40 } )$

$P(X > x ) = P(Z >2.5 )$

From the z-table the value for $P(Z > 2.5 ) = 0.0062097$

7 0

3 years ago

What is the simplified value of the expression below?-8 *(-3)

Readme [11.4K]

Answer: +24

Step-by-step explanation: To multiply (-8)(-3), remember that a negative times a negative is always a positive. So (-8)(-3) is +24.

7 0

2 years ago

Read 2 more answers

You deposit $800 in an account that pays 2.25% annual interest compounded continuously. About how long will it take for the bala

timurjin [86]

Answer:

48.8 years

Step-by-step explanation:

A=p(1+r/n)^nt

A= total amount

p= initial investment (800_

r/n= annual interest rate over number of years( 2.25)

t= number of years compounded ( annually , biannually, quarterly etc.)

48.8 years

7 0

3 years ago

what is the slope of a line parallel to the line whose equation is y= -5/2x+7. fully simplify your answer

Feliz [49]

Answer:

-5/2

Step-by-step explanation:

7=intersect of y

-5/2=Slope

7 0

2 years ago