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kari74 [83]
3 years ago
11

What is the lateral surface area of a cube with side length of 9 cm

Mathematics
1 answer:
Wittaler [7]3 years ago
3 0
S^2 = one face of a cube
S^2 × 6 = entire Surface Area (SA) of cube
One face = 9^2 = 81 cm^2
SA = 81 × 6 = 486 cm^2
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A Microgates Industries bond has a 10 percent coupon rate and a $1,000 face value. Interest is paid semiannually, and the bond h
Usimov [2.4K]

Answer:

a. $849.45

Step-by-step explanation:

In the above question, we are given the following information

Coupon rate = 10%

Face value = 1000

Maturity = n = 20 years

t = number of periods = compounded semi annually = 2

Percent yield = 12% = 0.12

Bond Value formula =

C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)

C = coupon rate × face value = 10% × 1000 = 100

Bond value:

= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2

= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40

= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)

= 50 × 15.046296872 + 97.222187709

= $849.45

Bond value = $849.45

8 0
3 years ago
Round 76070.7376413 to 2 decimal places
lakkis [162]
<h3>Answer:</h3><h2>76,070.74</h2><h3>Step-by-step explanation:</h3>

When you round decimals, your looking at the place value, then your looking at the place value next to it.

<u>If you see a number that is 0 - 4 behind the place value your rounding to, you do nothing to the place value.</u>

<u>If you see a number that is 5 - 9 behind the place value your rounding to, you add one to the place value.</u>

<h3><u>Example 1:</u></h3>

Round the Number 71.25 to the <u>Tenths place.</u>

<u>When we go to the place value, Tenths, we go behind the Tenths place value:</u>

71.<em>2</em><u>5</u>

<u>2 is the Tenths place value, 5 is the place value behind the Tenths place value.</u>

<u>Since 5 is able to be rounded up, you add one to the tenths place.</u>

<u>It should be rounded to 71.3. There cannot be numbers where you've rounded, just zeroes.</u>

<h3><u>Example 2:</u></h3>

Round the Number <u>3,345.8493</u> to the <u>Thousands place.</u>

3 is the Thousands place, 3 is the place value behind the Thousands place value.

3 is not in between 5 - 9. So, the rounded answer is 3,000.

When numbers behind the Place Value cannot round the Thousands place value, it turns into zeroes too.

Answer:

Round  76070.7376413 to the Hundredths place value.

The 3 is the Hundredths place value, the 7 is the place value behind the Hundredths place value.

7 qualifies for the numbers 5 - 9.

Therefore, you add 1 to the hundredths place value.

Your final answer is (76,070.74)

Best of Luck to you.

If you have any questions, feel free to comment below.

Merry Christmas!

8 0
3 years ago
What number multiplied by itself 3 times equal 343
ratelena [41]
7 because 7 • 7 = 49 • 7 = 343
6 0
3 years ago
Read 2 more answers
Pablo borrowed $50,000 to start a business. Three years later, he repaid the $50,000 along with an interest of $9,375. What was
kiruha [24]

Answer:

The annual interest rate is 6.25%

Step-by-step explanation:

We have been given that

P = $50,000

I = $9,375

t = 3 years

r = ?

The formula for simple interest is given by

I=Prt\\\\\text{Substituting the known values, we get}\\\\9375=50000(r)\cdot3\\\\r=\frac{9375}{50000\cdot3}\\\\r=0.0625\\\\r=6.25\%

Therefore, the annual interest rate is 6.25%

6 0
3 years ago
The table shows the amount of sugar needed to make lemonade. Are the quantities proportional? Explain which method you used and
Klio2033 [76]

Answer: Yes

Step-by-step explanation:

For the first sugar and servings part, 4 for sugar, 2 for servings.

The ratio for this example above it for sugars to servings it 2:1. So every 2 sugars is every 1 serving and this applies to every other of the sugars and servings in the table.

7 0
2 years ago
Read 2 more answers
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