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lisov135 [29]
3 years ago
9

Assume that the educational savings account will return a constant 9%. The parents deposit $2400 on their daughter's first birth

day and plan to increase the size of their deposits by 7% each year. Assuming that the parents have already made the deposit for their daughter's 18th birthday, then the amount available for the daughter's college expenses on her 18th birthday is closest to ________.
Business
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

the amount available is $160,463

Explanation:

The computation of the amount available for the daughter's college expenses on her 18th birthday is shown below:

= First deposit × ((1 + rate of interest)^number of years - (1 + growth rate)^number of years) ÷ (rate of interest - growth rate)

= $2,400 × ((1 + 0.09)^18 - (1 + 0.07)^18) ÷ (0.09 - 0.07)

= $160,463

hence, the amount available is $160,463

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Whipple Corp. just issued 280,000 bonds with a coupon rate of 6.02 percent paid semiannually that mature in 25 years. The bonds
sesenic [268]

Answer:

529.64 million or $529,639,600 was received from the sale of bonds.

Explanation:

Money Raised from the sale is based on the current value of the bond. Price of bond is the present value of future cash flows, to calculate Price of the bond use following formula:

Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]

As per given data

Face Value = $2,000

Coupon payment = $2,000 x 6.02% = $120.4 /2 = $60.2 semiannually

Number of period = n = 25 years x 2 period per year = 50 period

Yield to maturity = 6.46% annually = 6.46% / 2  = 3.23% semiannually

Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]

Price of the Bond = $60.2 x [ ( 1 - ( 1 + 3.23% )^-50 ) / 3.23% ] + [ 2,000 / ( 1 + 3.23% )^50 ]

Price of the Bond = $1,483.51 + $408.06 = $1,891.57

Cash received = Number of bonds x Price per bond = 280,000 x $1,891.57 = $529,639,600

3 0
3 years ago
aaron is earning 5% interest on his savings account. he starts with $5,000.00. how much money will he have in 6 months?
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Answer:

I think the answer is $1,500.

Explanation:

I hope this helps. If the answer is wrong then sorry and you don't have to give me the points. In here I think I did the calculation wrong.

7 0
2 years ago
Problem 9-18 Comprehensive Variance Analysis [LO9-4, LO9-5, LO9-6]
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Answer:

1 a. Materials price and quantity variances.

Material price variance = (Actual price - Standard price) * Actual Quantity purchased

= ($2.45 - $2) * 15,800

= $0.45 * 15,800

= $7110 (Unfavorable)

Materials Quantity variance = (Actual Quantity used - Standard Quantity allowed) * Standard price  

(10600 - 3000 * 3.6) * $2

= (10,600 -  10,800) * $2

= 200 * $2

= 400 (Favorable)

b. Labor rate and efficiency variances.

Labor rate variance = (Actual rate - standard rate) * Actual hours

= (6.30 - 6.6) * 2,100

= 0.3 * 2,100

= 630 (Favorable)

Labor Efficiency variance  = (Actual hours - standard hours allowed) *  Standard rate  

= (2100 - 3000 * 0.5) * 6.6

= (2,100 - 1,500) * 6.6

= 600 * 6.6

= 3960 (Unfavorable)

c. Variable overhead rate and efficiency variances

Variable overhead rate variance  = (Actual rate - Standard rate * Actual machine hours)

= 3000 - (2.10 * 1200)

= 3,000 - 2,520

= 480 Unfavorable

Variable overhead Efficiency variance = (Actual hours - standard hours allowed)* Standard rate

= (1200 - 3000 * 0.3) * 2.10    

= (1200 - 900) * 2.10

= 300 * 2.10

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2.    Variances                                            Amount

Material price variance                             7,110 U

Material quantity variance                         400 F

Labor rate variance                                    630 F

Labor efficiency variance                           3,960 U

Variable overhead rate variance               480 U

Variable overhead efficiency variance      <u>630 U</u>

Net variance                                                <u>11,150 U</u>

<u></u>

The net variance of all the variance of the month is 11,150 (Unfavorable)

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1 year ago
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