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diamong [38]
3 years ago
11

What is the simplified form of StartRoot 10,000 x Superscript 64 Baseline EndRoot ?

Mathematics
2 answers:
Nat2105 [25]3 years ago
8 0

Answer:

5000x^8

Step-by-step explanation:

Ksivusya [100]3 years ago
6 0

Answer:

D

Step-by-step explanation:

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If f(x) = 2x – 1 and g(x) = 3x + 5, then (f o g)(x) is equal to
Vlada [557]

Answer:

  (f◦g)(x) = 6x +9

Step-by-step explanation:

Use g(x) as the argument to f(x) and simplify.

  (f◦g)(x) = f(g(x)) = f(3x +5) = 2(3x +5) -1

  (f◦g)(x) = 6x +9

8 0
2 years ago
A plot of land has an area of 1,089,000 square feet.The conversion factors between different area measures are shown below.27,87
IgorC [24]

Part A) 24.79 acres

1) Since that plot has an area of

1,089,000ft^2=1.08\times10^6ft^2

And the number of units must be between 10 and 10² units.

Part A)

\begin{gathered} 27,878,400ft^2=2.78784\times10^7ft^2=1m^2 \\ 43560ft^2\text{ =4.356 }\times10^4ft^2\text{ = 1 acre} \end{gathered}

2) Let's convert them to the apparently plausible units, see if it fits within the given interval.

\begin{gathered} \frac{1.08\times10^6}{4.356\times10^4}=24.79\text{ acres} \\ \frac{1.08\times10^6}{2.78784\times10^7}=0.03m^{2} \end{gathered}

We can see that 0.03 m² does not belong to the given interval.

3) Hence, the answer is 24.79 acres.

7 0
1 year ago
When patey pontoons issued 6% bonds on january 1, 2016, with a face amount of $600,000, the market yield for bonds of similar ri
GaryK [48]
You are given a bond interest of 6% that was given on January 1, 2016, with a face value of $600,000. Also, the market yield for bonds of similar risk, that <span>the market yield for bonds of similar risk and maturity was 7% and </span>the interest is paid semiannually on June 30 and December 31. You are to find the bond value on January 1, 2016. In here, because the yield of the market is above 6%, the bonds will have a discount for bonds less than $600,000.

Cash interest
= 0.06 * $600,000 * 6/12 (because it is done semiannually)
= $18,000
7%/2 = 3.5%

PV of interest at 3.5%
= $18,000 * 6.87396
= $123,731

PV of face at 3.5%
= $600,000 * 0.75941
= $455,646

Value of bond
= PV on interest + PV of face
= $123,731 + $455,646
= $579,377
3 0
3 years ago
In a statistics class, there are 22 juniors and 18 seniors. Of the juiors, 12 are females. Of the seniors, 11 are males. What is
Mariana [72]

Answer:

a) 0.857

b) 0.571

c) 1

Step-by-step explanation:

Based on the data given, we have

18 juniors

10 seniors

6 female seniors

10-6 = 4 male seniors

12 junior males

18-12 = 6 junior female

6+6 = 12 female

4+12 = 16 male

A total of 28 students

The probability of each union of events is obtained by summing the probabilities of the separated events and substracting the intersection. I will abbreviate female by F, junior by J, male by M, senior by S. We have

P(J U F) = P(J) + P(F) - P(JF) = 18/28+12/28-6/28 = 24/28 = 0.857

P(S U F) = P(S) + P(F) - P(SF) = 10/28 + 12/28 - 6/28 = 16/28 = 0.571

P(J U S) = P(J) + P(S) - P(JS) = 18/28 + 10/28 - 0 = 1

Note that a student cant be Junior and Senior at the same time, so the probability of the combined event is 0. The probability of the union is 1 because every student is either Junior or Senior.

8 0
3 years ago
Together with the interest of 15%, in 20 days an amount of 5445 dollars was received. What is the capital, and how much is the i
kodGreya [7K]

Answer:

$5400

$45

Step-by-step explanation:

Interest = principal x interest rate x time

principal = p

interest rate = 15%

time = 20/365 = 0.054795

Interest = 5445 - p

5445 - p = 0.15 x p x  0.054795

5445 - p = 0.008219p

Collect like terms and solve for p

p = $5400

Interest = 5445 - 5400 = $45

7 0
2 years ago
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