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Alenkasestr [34]
3 years ago
7

A bank loaned out 19,000 part of it at 6% interest per year and the rest at 14% per year. if the interest recieved in one year t

otaled 2000 how much was loaned out at 6%
Business
1 answer:
Ksju [112]3 years ago
6 0
Let x be the part of 19,000 that was loaned out at 6% such that the remaining 19,000 - x was loaned out at 14%. The interest is calculated by the equation,

    I = P x i x n

where P is the principal amount, i is the interest, n is the number of years. Substituting the known values,

   2000 = (x)(0.06) + (19000 - x)(0.14)

The value of x from the equation above is 8250.

Hence, 8,250 was loaned out at 6%. 
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Coral Music manufactures harmonicas. Coral uses standard costs to judge performance.​ Recently, a clerk mistakenly threw away so
jeka57 [31]

Answer:

Explanation:

std rate  $9.00

actual rate  $8.50

standard hours 5,200

Total variance: 390 Favorable

Rate variance:

(standard\:rate-actual\:rate) \times actual \: hours = DL \: rate \: variance

Efficiency

(standard\:hours-actual\:hours) \times standard \: rate = DL \: efficiency \: variance

Total:

rate + efficiency

(standard\:rate-actual\:rate) \times actual \: hours + (standard\:hours-actual\:hours) \times standard \: rate = 390

We plug our know values and solve:

(9 - 8.5) \times actual \: hours + (5,200-actual\:hours) \times 9 = 390

0.5actual hours + 46,800 - 9actual hours = 390

46,800 - 390 = 8.5 actual hours

46,410/8.5 = actual hours = 5,460

now we calculate each variance:

rate: 2,730

(9-8.5) \times 5,460 = DL \: rate \: variance

efficiency (2,340)

(5,200-5,460) \times 9 = DL \: efficiency \: variance

8 0
3 years ago
Cyclical unemployment is closely associated with Select one: a. long-term economic growth. b. short-run ups and downs of the eco
kiruha [24]

Answer:

b. short-run ups and downs of the economy.

Explanation:

Cyclical unemployment is a form of employment that occurs as a result of fluctuations in the economy.

When there's a downturn in the economy, unemployment increases and It falls when there's a boom.

I hope my answer helps you

7 0
3 years ago
Read 2 more answers
During a pandemic, an economy goes into a recession due to a decrease in aggregate demand. Assume the government creates a progr
den301095 [7]

The spending that would occur during the third round of spending if the marginal propensity to consume (MPC) was 0.6 will be $420 billion.

  • Increase in expenditure = $700 billion.
  • Marginal propensity to consume = 0.6

The amount of spending based on the information given will be:

= 0.6 × $700 billion

= $420 billion.

Therefore, the correct option is $420 billion.

Read related link on:

brainly.com/question/17012549

7 0
2 years ago
Suppose the government passes a law eliminating holidays and, as a result, the production of goods and services increases becaus
hjlf

Answer:

B) GDP would definitely increase because GDP excludes leisure.

Explanation:

The gross domestic product GDP includes the market value of all the final and legal goods and services produced within a country during one year.

Leisure time by itself is not included in the GDP, recreational and travel activities are, e.g. hotel services, restaurants, camping equipment, etc.

8 0
2 years ago
You want to be a millionaire when you retire in 40 years. a. How much do you have to save each month if you can earn an annual r
oksano4ka [1.4K]

Answer:

The answers are:

a. 1866.79

b. 2489.05

c. 3733.57

Explanation:

a. Let us begin by calculating the total amount to be saved each year.

Let the total amount to be saved each year be "m"

annual return = 11.6% of m = 11.6 ÷ 100 = 0.116 of m

Therefore to be a millionaire in 40 years, the total amount saved for the year + the annual return on that amount when multiplied by 40 will yield 1 million. It is represented thus:

(0.116m + m) × 40 = 1,000,000

= (1.116m) × 40 = 1,000,000

44.64m = 1,000,000

∴ m = 1,000,000 ÷ 44.64 = 22401.433691756

therefore amount to be saved for a year = 22401.433691756

to calculate amount to be saved each month we divide this amount by 12, because 12 calendar months make one year. Hence;

amount to be saved each month = 22401.433691756 ÷ 12 = 1866.79 (to 2 decimal places).

b. If you wait 10 years, then you have only 30 years left to save

since the annual return remains the same,

(0.116m + m) × 30 = 1,000,000

(1.116m) × 30 = 1,000,000

33.48m = 1,000,000

∴ m = 1,000,000 ÷ 33.48 = 29868.578255675 (amount to be saved for a year)

Therefore amount to be saved per month = 29868.578255675 ÷ 12 = 2489.05 ( to 2 decimal places)

c. If you wait 20 years before saving, you hve 20 years more to save.

Since the annual return remains the same;

(1.116m) × 20 = 1,000,000

22.32m = 1,000,000

m = 1,000,000 ÷ 22.32 = 44802.867383512 (yearly amount to be saved)

Therefore amount to be saved per month = 44802.867383512 ÷ 12 = 3733.57 ( to 2 decimal places).

7 0
3 years ago
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