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Alex73 [517]
1 year ago
9

Kathy and Mark Smith believe investing in retirement is critical. Kathy begin investing 20% of each paycheck in a retirement acc

ount when she was 20 years old. She has saved four times more than mark who begin saving when he was 25 if there total retirement savings equals 1,450,000 how much are Kathy’s and Mark’s investments worth
Mathematics
1 answer:
daser333 [38]1 year ago
5 0

Kathy’s retirement savings is $11,60,000

Mark’s retirement savings is   $2,90,000

Total retirement savings amount is $1,450,000

Kathy’s investment is 4 times more than Mark

Calculation of future value at the end of 6 years:

Particulars                                                                 Values

Total retirement savings                                           $1450000

Mark investment (times)                                                1

Number of times kathy's investment is more       B3x4              =  4

Total                                                                       B34 = B3+B4 = 5

Kathy's retirement savings                                  (B2*B4)/B5     = $11,60,000

Mark's retirement savings                                      B7/B4           = $2,90,000

<h3>What is investment ?</h3>

Investing is holding assets with the goal of achieving value over a period of time. Investing requires the sacrifice of some current asset, such as time, money, or effort. The purpose of financial investments is to obtain income from the invested property. Investments typically fall into three main categories: stocks, bonds, and cash. Each group has many different rankings. Here are six types of investments you can consider for long-term growth, and what you should know about each

To learn more about investment, visit;

brainly.com/question/1294604

#SPJ9

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When rounded to the hundred thousands place, which numbers will round up too 700,000?
Leto [7]

Answer:

B, D and E

  • If the number is below 50,000 , keep it the same or round downwards.
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6 0
2 years ago
A gumball has a diameter that is 66 mm. The diameter of the gumball's spherical hollow core is 58 mm. What is the volume of the
grigory [225]

Answer:

Volume of gumball without including its hollow core is 48347.6 cubic mm.

Step-by-step explanation:

Given:

Diameter of Gumball = 66 mm

Since radius is half of diameter.

Radius of gumball = \frac{diameter}{2}=\frac{66}{2} =33 \ mm

Now We will first find the Volume of Gumball.

To find the Volume of Gumball we will use volume of sphere which is given as;

Volume of Sphere = \frac{4}{3}\pi r^3

Now Volume of Gumball = \frac{4}{3}\times3.14 \times (33)^3 = 150456.24 \ mm^3

Also Given

Diameter of gumball's spherical hollow core = 58 mm

Since radius is half of diameter.

Radius of gumball's spherical hollow core = \frac{diameter}{2}=\frac{58}{2} =29 \ mm

Now We will find the Volume of gumball's spherical hollow core.

Volume of Sphere = \frac{4}{3}\pi r^3

So Volume of gumball's spherical hollow core = \frac{4}{3}\times3.14 \times (29)^3 = 102108.61 \ mm^3

Now We need to find volume of the gumball without including its hollow core.

So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.

volume of the gumball without including its hollow core = Volume of Gumball - Volume of gumball's spherical hollow core = 150456.24\ mm^3 - 102108.61\ mm^3 = 48347.63\ mm^3

Rounding to nearest tenth we get;

volume of the gumball without including its hollow core = 48347.6\ mm^3

Hence Volume of gumball without including its hollow core is 48347.6 cubic mm.

8 0
2 years ago
A student randomly draws a card from a standard deck and checks to see if it is his favorite suit he then returned to card to th
tensa zangetsu [6.8K]

Answer:

The binomial probability formula can not be used for this experiment because it does not state the number of times he expects to draw his favorite suit.  

Step-by-step explanation:

The binomial probability formula is expressed as follows:

P (k success in n trials) = \left \{ {{n \atop k} \right. p^{k}q^{n-k}

n = number of trials, k = number of successes, n-k = number of failures, p = probability of success in one trial and q = 1 - p = probability of failure in one trial.  

In the given problem, all of the variables are known except for 'k', the amount of times that the student predicts he will draw his favorite suit.  

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At a high-end restaurant, a meal with a 22% tip costs $179.11. What was the original cost of the meal?
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Answer:

139.71

Step-by-step explanation:

22% of 179.11 is 39.40

179.11 - 39.40 = 139.71

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