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eduard
3 years ago
5

A wealthy art collector has decided to endow her favorite art museum by establishing funds for an endowment which would provide

the museum with $1,000,000 per year for acquisitions into perpetuity. The art collector will give the endowment upon her fiftieth birthday 10 years from today. She plans to accumulate the endowment by making annual end-of-year deposits into an account. The rate of interest is expected to be 6 percent in all future periods. How much must the art collector deposit each year to accumulate to the required amount
Business
1 answer:
Oxana [17]3 years ago
4 0

Answer:

$1,264,466 is the correct answer.

Explanation:

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At the end of every 3 months, Teresa deposits into an account that pays 5% compounded quarterly. After she puts the accumulated
NikAS [45]

Answer:

The amount Teresa will have accumulated when this certificate matures is $2,452.16.

Explanation:

Note: This question is not complete as some important data are omitted. The complete question is therefore provided before answering the question as follows:

At the end of every 3 months, Rita deposits $100 into an account that pays 5% compounded quarterly. After 5 years, she puts the accumulated amount into a certificate of deposit paying 8.5% compounded semiannually for 1 year. When this certificate matures, how much will Teresa have accumulated?

The explanation of the answers is now provided as follows:

Step 1: Calculation of accumulated amount after 5 years.

Since the deposits are paid at the end of every 3 months, the accumulated amount after 5 years can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV5 = P * (((1 + r1)^n1 - 1) / r) ................................. (1)

Where,

FV5 = Future value or accumulated amount after 5 years = ?

P = Quarterly deposit or deposit at the end of every 3 months = $100

r = Quarterly interest rate on the account = Interest rate on the account / Number of quarters in a year = 5% / 4 = 0.05 / 4 = 0.0125

n = number of quarters = 5 years * Number of quarters in a year = 5 * 4 = 20

Substituting the values into equation (1), we have:

FV5 = $100 * (((1 + 0.0125)^20 - 1) / 0.0125) =  $2,256.30

Therefore, the accumulated amount after 5 years is $2,256.30.

Step 2: Calculation of the amount Teresa will have accumulated when this certificate matures.

This can be calculated using the simple future value (FV) as follows:

FVM = FV5 * (1 + R)^N ……………………… (2)

FVM = Accumulated amount at maturity = ?

R = semi-annual interest rate on certificate of deposit = Interest rate on certificate of deposit / Number of semiannuals in a year = 8.5% /2 = 0.085 / 2 = 0.0425

N = number of semiannuals = 1 year * Number of semiannuals in a year = 1* 2 = 2

Substituting the values into equation (2), we have:

FVM = $2,256.30 * (1 + 0.0425)^2 = $2,452.16

Therefore, the amount Teresa will have accumulated when this certificate matures is $2,452.16.

3 0
3 years ago
Direct labor on the February cost of production report (weighted-average method) revealed a cost per equivalent unit of $0.30. T
aleksandrvk [35]

Answer:

Kindly find the complete questions attached.

a) 325,000 units were transferred to finished goods

direct materials 171,053

direct labor 85,526

factor overhead 68,421

(b) February's equivalent units of production was 445,000 units :

direct materials 234,211

direct labor 117,105

factor overhead 93,684

(c) the cost of direct material introduced into production during February was $234,211

(d) The cost of direct labor introduced into production in February was $35,132

(e) The factory overhead application rate was 80% of Direct Labor

(f ) Of the total cost (beginning inventory plus additional production cost), allocation to

ending work in process is 120,000 units costing $80,211

(g) Of the total cost (beginning inventory plus additional production cost), transfer to finished goods inventory is $217,237

(h) February's gross profit is $373,363

Please review the attached for detailed workings and presentation of the answers

6 0
3 years ago
The credit portion of the adjustment for the depletion of a coal mine was credited to the Coal Mine account. This error would ca
alex41 [277]

its not b. the periods net income to be understated

7 0
3 years ago
Mara Kay is a system analyst for a national department store. She was tasked to identify previously unknown relationships in the
kherson [118]

Answer: Data Mining

Explanation: Mara Kay tasked with identifying previously unknown relationships in the company's sales data. This is an indication that Mara Kay will be working with pre-existing company data.  

Data Mining can therefore be defined as the examination of large pre-existing databases in order to discover/identify patterns that will be useful in generating new information.

Data Mining is also known as Knowledge Discovery in Databases.

Data Mining will not be complete if the results of the analysis are not used for future purposes, therefore, Mara Kay will use the results of her findings for future promotions.

5 0
3 years ago
Eric's income increased from $40,000 to $50,000 per year. Eric's consumption of tickets to pro football games increased from two
uysha [10]

Answer: b. +3; normal

Explanation:

Income elasticity measures the responsiveness of quantity demanded to a change in consumer's income.  When demand for a good increases with an increase in income, it is termed as a normal good. While, when demand for a good decreases with an increase in income it is termed as an inferior good.

Using the mid-point method,

e_{i} = \frac{ 4 - 2}{\frac{4 + 2}{2} } * \frac{\frac{50000 + 40000}{2} }{50000 - 40000}

e_{i} = \frac{2}{3}  *  \frac{45,000}{10,000}

e_{i} =0.67*4.5

e_{i} = 3.015

Therefore, income elasticity is 3 and the good is a normal good as rise in income increases demand.

5 0
3 years ago
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