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3 years ago

What does this equal

Mathematics

2 answers:

AleksandrR [38]3 years ago

8 0

Answer:

78125

Step-by-step explanation:

STatiana [176]3 years ago

8 0

5^7
78125
The law of indices says: when dividing you subtract the exponent so you say 9-2=7
and you 5 remains so it’s would be 5^7

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A total of $27,000 is invested, part of it at 12% and the rest at 13%. The total interest after one year is $3385. How much was

Sveta_85 [38]

The amount invested in each rate are $14500 and $12500 respectively;

Let the amount invested in each be P1 and P2

Let the individual interest be I1 and I2 respectively;

I1 = P1R1T/100

I2 = P2R2T/100

If a total of $27,000 is invested, then;

P1 + P2 = 27000 ........... 1

If the total interest after one year is $3385, then;

I1 + I2 = 3385

$\frac{P_1(12)(1)}{100} + \frac{P_2(13)(1)}{100} = 3385\\0.12P_1+0.13P2=3385\\12P_1 + 13P_2=338500 ........................... 2$

Solving equations 1 and 2 simultaneously;

P1 + P2 = 27000 ........... 1 * 12

12P1 + 13P2 = 338500 ........... 2 * 1

________________________________

12P1 + 12P12 = 324000

12P1 + 13P2 = 338500 ...

Subtract both equations

12P2 - 13 P2 = 324000 - 338500

-P2 = -14500

P2 = 14500

Recall that P1 + P2 = 27000

P1 = 27000 - P2

P1 = 27000 - 14500

P1 = 12500

Hence the amount invested in each rate are $14500 and $12500 respectively;

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3 years ago

During a heavy rainstorm, a city in Florida received

Alik [6]

Answer: D. About $\frac{1}{2}$ inches per hour.

Step-by-step explanation:

1. The city received $12^{\frac{1}{4}}$ inches of rain in $25^{\frac{1}{2}}$ hours.

2. Let's write the mixed number as decimal numbers:

$12^{\frac{1}{4}}in=12.25in$

$25^{\frac{1}{2}}h=25.5h$

3. To find the approximate rainfall rate in inches per hour, you must divide 12.25 inches by 25.5 hours, as following:

$\frac{12.25in}{25.5h}=0.48\frac{in}{h}$

4. If you round the result to the nearest tenth, you obtain:

$0.5\frac{in}{h}=\frac{1}{2}\frac{in}{h}$

5. Therefore, the answer is the option D.

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4 years ago

Solve the equation:

gulaghasi [49]

Answer:

3/4x=12

3=4x*12

3=48x

3/48x=1/16

x=1/16

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3 years ago

Find the measure of angle D, and the perimeter and area of parallelogram abcd

Alecsey [184]

Answer:

It is the last choice.

Step-by-step explanation:

m < D = 180 - 28 = 152 degrees ( as same side angle add up to 180 degrees).

The perimeter = 2*17 + 2*25 = 84 cm ( as opposite sides of a parallelogram are congruent).

The area = base * height = 8 * 25

= 200 cm^2.

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3 years ago

A large bakery buys flour in 20-pound bags. The bakery uses an average of 1050 bags a year. Preparing an order and receiving a s

emmasim [6.3K]

Given the following:

Demand = 1050
Ordering cost = 15
Holding cost = 55

The economic order quantity is 24.

<h3>What is the economic order Quantity?</h3>

Eoq = √2 * demand * ordering cost / holding cost)

= √(2 * 1050 * 15 / 55)

EOQ = 24

<h3>What is the average number of bags on-hand?</h3>

The Average inventory = EOQ / 2

= 24 / 2

= 12

<h3>How many orders per year will there be?</h3>

Expected number of orders = demand / EOQ

= 1050 / 24

= 44

<h3>What is the total cost of ordering and carrying flour?</h3>

Annual holding cost (AHC) = (EOQ / 2) * Holding cost

= (24 / 2) * 55

= 660

Annual ordering cost (AOC) = (demand / EOQ) * ordering cost

= (1050 / 24) * 15

= 656

Thus,

Total cost of managing = AHC + AOC

= 660 + 656

TCM = 1,316

<h3>If holding costs were to increase by $5 per year, how much would the minimum total annual cost?</h3>

5. For holding cost of 60

EOQ= √(2 * demand * ordering cost / holding cost)

= √(2 * 1050 * 15 / 60)

= 23

Annual holding cost = (EOQ / 2) * holding cost

this gives us

= (23 / 2) * 60

= 690

Annual ordering cost = (demand / EOQ) * ordering cost

= (1050 / 23) * 15

= 685

Total cost of managing = AHC+ AOC

= 690 + 685

= 1375

Change in total annual cost = new - old

= 1375 - 1316

= 59

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2 years ago