MATHEMATICS HIGH SCHOOL

Please answer these rly simple but I'm confused still questions

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Please answer these rly simple but I'm confused still questions - 1

Answers

Answer 1
Answer: just divide the miles they traveled by how long it took them

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Mike is looking for a loan. He is willing to pay no more than an effective rate of 8.000% annually. Which, if any, of the following loans meet Mike’s criteria?Loan X: 7.815% nominal rate, compounded semiannually
Loan Y: 7.724% nominal rate, compounded monthly
Loan Z: 7.698% nominal rate, compounded weekly
a. Y only
b. X and Z
c. Y and Z
d. None of these meet Mike’s criteria.

Answers

Answer:

b. X and Z

Step-by-step explanation:

Since, the effective annual rate is,

i_a=(1+(r)/(m))^m-1

Where r is the nominal rate per period,

m is the number of periods in a year,

For loan X,

r = 7.815 % = 0.07815

m = 2,

Thus, the effective annual rate,

i_a=(1+(0.07815)/(2))^2-1

=(1+0.039075)^2-1

=1.07967685563-1=0.07967685563=7.967685563\% \approx 7.968\%

Since, 7.968\% < 8.000 %

Thus, Loan X meets his criteria.

For loan Y,

r = 7.724%= 0.07724

m = 12,

Thus, the effective annual rate,

i_a=(1+(0.07724)/(12))^(12)-1

=(1.00643666667)^(12)-1

=1.08003395186-1=0.08003395186=8.003395186\% \approx 8.003\%

Since, 8.003 > 8.000 %

Thus, Loan Y does not meet his criteria.

For loan Z,

r = 7.698% = 0.07698

m = 52,

Thus, the effective annual rate,

i_a=(1+(0.07698)/(52))^(52)-1

=(1.00148038462)^(52)-1

=1.07995899887-1=07995899887=7.995899887\% \approx 7.996\%

Since, 7.996 % < 8.000 %

Thus, Loan Zmeets his criteria.

Hence, option 'b' is correct.

Answer:

X and Z

Step-by-step explanation:

How else can the ratio 4⁄5 be written? 

       A. .2   B. 5⁄4   C. 5:4   D. 4:5

Answers

Ratio 4/5 can be written as 4:5.

The correct option is D.

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given,

Ratio = 4/5

: is another symbol of ratio

Thus, 4/5 can be written as 4:5.

Hence, 4:5 is equivalent to ratio 4/5.

Learn more about ratio here:

brainly.com/question/13419413

#SPJ6
(x)/(y) will be either x to y or x : y
so,
(4)/(5) will be 4 :5

Answer is: D. 4 : 5

(2k + 3)(k - 1)A. 2k^2 + k – 3
B. 2k^2 + k + 2
C. 2k^2 – k – 3
D. 2k^2 – k + 2

Answers

(2k+3)(k-1)

Use the distribute property

(2k)(k)+(2k)(-1)+(3)(k)+(3)(-1)

= 12k²-2k+3k-3

= 2k²+k-3


The answer is A


Good night

If z varies inversely as​ w, and zequals4
when wequals
6​,
find z when wequals
8.

Answers

z = 4 , w = 6
z = x , w = 8

Therefore, z = (4*8) / 6
                     = 32 / 6
                     = 16/3 = 5.333

57 = -8x – 7 helpppppp

Answers

57 = -8x - 7

Add 7 to both sides:

64 = -8x

Divide both sides by -8:

X = 64/-8

X = -8

Answer:

x = -8

Step-by-step explanation:

57 = -8x - 7

+7           +7

64 = -8x

64/-8

x = -8

Check:

57 = -8(-8) - 7

57 = 64 - 7

57 = 57

Kris bought a new fur coat for $8,000. She must pay 5% sales tax and 7% excise tax. The furrier is shipping the coat so kris must also pay a $15 insurance charge. What is the total purchase price of the coat?

Answers

0.05 x 8000 = 400
0.07 x 8000 = 560
8000 + 560 + 400 = 8960
8960 +15 = 8,975
Total Price = $8,975
Well, first we have to find out what 5% and 7% of 8,000 is and then add the three numbers up.
.05*8,000=400
.07*8,000=560
400+560+8,000=8960
And finally, we add that extra fee.
8960+15=$8,975
Hope it Helps!!!  :)
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