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Marizza181 [45]
3 years ago
6

Christine is 4 years younger than Mark. 3 years from now, she will be two-thirds as old as Mark find their present ages.Complete

solution​
Mathematics
1 answer:
icang [17]3 years ago
5 0

Answer:Mark Is 9 years old; Christine is 5 years old

Step-by-step explanation:

Present age

LET  mark age be x

Christine be x-4 yrs

In 3 yrs Time

Mark will be x+3 yrs old

Christine  will be  (x -4 +3) = x-1 years old

Also, In 3 years time

Christine  = 2/3 Mark

such that

  x-1 = 2/3(x+3)

  x -1= 2x+6 / 3

    3x  -3= 2x+6

      3X--2X = 6+3

         =X=9

Mark Is 9 years old

Christine is   x -4 = 9-4=5 years old

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3164 divide 45 fast plz fast
Anna11 [10]

Answer:

70.31

Step-by-step explanation:

3164/31=70.31

3 0
3 years ago
George ends in 9% commission on all of the sale. We head south of $89,400 for the month. Here’s works for a different company, a
pshichka [43]

Answer:

  9.5%

Step-by-step explanation:

As a percentage of sales, Harris's earnings were ...

  447/89400 × 100% = 0.5%

more than George's.

Harris's commission rate must be 9% + 0.5% = 9.5%.

7 0
3 years ago
Interpret the interquartile range. Choose the correct answer below.
Zepler [3.9K]

The value 257.3 denotes the range of the middle 50% of all observations in the distribution.

Q1 = 271.8 ; Q2 = 387.9 ; Q3 = 529.1

The Interquartile range is the difference between the the upper quartile and Lower quartile ;

  • IQR = Q3 - Q1

  • IQR = 529.1 - 271.8 = 257.3

The value of Q3 depict the 75th percentile of the data

The value of Q1 depicts the 25th percentile of the data

The difference between (Q3 and Q1) ; is the (75th - 25th) = middle 50th percentile of the distribution.

Since the difference between the maximum and minimum value is the range, then 257.3 is the range of the middle 50% of all observations in the distribution.

Learn more :brainly.com/question/24582786

5 0
2 years ago
Help fast please ! Match the graph go one of the exponential functions
lara [203]

Answer:

f(x)=(\frac{1}{4} )^{x} +4

Step-by-step explanation:

The way I did this was I noticed that the graph had a y-intercept of 4 and the only exponential function that had a y-intercept of 4 was f(x)=(\frac{1}{4} )^{x} +4

3 0
3 years ago
Anna has a 30-year, 5.75% mortgage on her $250,000 home. She has been
poizon [28]

Answer:

Her new monthly payment is now $1,378.91¢

Step-by-step explanation:

  For us to calculate the new monthly mortgage payment that Anna will start paying from now on, we need to input the formula for calculating monthly mortgage payments.

The formula is:-

          M = P [\frac{r(1+r)^{n} }{(1+r)^{n}-1}]

  Where M is the monthly mortgage payment.

              P is the principal

              r is the monthly interest rate calculated by dividing your annual interest rate by 12

             n is the number of payments(the number of months you will be paying the loan).

 In this case, the new principal that Anna must pay back is $231,905.47¢. The annual interest rate has been reduced to 5.17% from 5.75% so the new monthly interest rate will be obtained by dividing the new annual interest rate by 12

   = 5.17%/2

   = 0.431%

  This is the new monthly  interest rate.

  Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.

   300 is therefore "n" that is required for the calculation.

All the terms needed for the calculation of her new monthly mortgage is now complete.

P = $231,905.47¢

r  = 0.431%

n = 300

             

 M = 231,905.47[\frac{0.00431(1+0.00431)^{300} }{(1+0.00431)^{300} -1}]

     = 231,905.47[\frac{0.00431(3.634)}{2.634}]

     = 231,905.47 × 0.005946

   M  = $1,378.91¢      

   Therefore her new monthly mortgage payment will become $1,378.91¢

4 0
3 years ago
Read 2 more answers
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