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jeka57 [31]
2 years ago
11

Omar wants to open an account for his grandchildren that he hopes will have

Mathematics
1 answer:
olga_2 [115]2 years ago
4 0

Using compound interest, it is found that he must deposit $56,389.

Compound interest:

A(t) = P(1 + \frac{r}{n})^{nt}

  • A(t) is the amount of money after t years.  
  • P is the principal(the initial sum of money).  
  • r is the interest rate(as a decimal value).  
  • n is the number of times that interest is compounded per year.  
  • t is the time in years for which the money is invested or borrowed.

In this problem:

  • Hopes to have $80,000 in 20 years, thus t = 20, A(t) = 80000.
  • Interest rate of 1.75%, thus r = 0.0175.
  • Compounding monthly, thus n = 12
  • The investment is of P, for which we have to solve.

Then:

A(t) = P(1 + \frac{r}{n})^{nt}

80000 = P(1 + \frac{0.0175}{12})^{12(20)}

P = \frac{80000}{(1 + \frac{0.0175}{12})^{12(20)}}

P = 56389

He must deposit $56,389.

A similar problem is given at brainly.com/question/25263233

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Why are the solutions to the proportions 40/8 = x/10 and x/40 = 10/8 the same?
romanna [79]

Answer:

Both proportions are equivalent.

Step-by-step explanation:

We have been given two proportions \frac{40}{8}=\frac{x}{10} and \frac{x}{40}=\frac{10}{8}. We are asked to find why the solutions to our given proportions are equal.

We can solve proportions by cross multiplying them.

After cross multiplying our both proportions we will get same equation that is:

40*10=8*x

400=8x

8*x=40*10

8x=400

Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.

4 0
3 years ago
Read 2 more answers
Calculate the sum of the first 30 terms in the sequence that begins with 70,65,60
Afina-wow [57]

\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle \Large \boldsymbol{} a_1=70  \  ; \ d=-5  \\\\S_n=\frac{a_1+a_n}{2} \cdot n \ ; \ a_n=a_1+(n-1)d \Longrightarrow \\\\\\ S_{30}=\frac{70+70-29\cdot5}{2} \cdot 30 =-75 \\\\\\Answer: S_{30}=-75

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=p%5E%7B3%7D%20at%20%5C%5C%5C%5C%20p%20%3D%202" id="TexFormula1" title="p^{3} at \\\\ p = 2" al
WITCHER [35]
<h3>Answer:  8</h3>

Reason:

Replace p with 2 and evaluate.

p^3 = 2^3 = 2*2*2 = 8

Think of a cube that is 2 units along each side. It's volume is 2*2*2 = 8 cubic units. Repeated multiplication can be shortened to using exponents.

Another example: 7^4 = 7*7*7*7

6 0
1 year ago
6% of $120 find percent<br> 0.5% of $44 find percent
just olya [345]
.06*120=$7.20
.005*44=$0.22
6 0
3 years ago
Read 2 more answers
Which shows the given inequalities in slope-intercept form?
yanalaym [24]

Answer: Solve for X      

4x−5y<1

Step-by-step explanation:

step 1 add 5y to each side

4x−5y+5y<1+5y

4x<5y+1

Step 2: Divide both sides by 4.

4x4<5y+14

x<54y+14

Answer:

x<54y+14

Let's solve for x.

12y−x<3

Step 1: Add (-1)/2y to both sides.

−x+12y+−12y<3+−12y

−x<−12y+3

Step 2: Divide both sides by -1.

−x−1<−12y+3−1

x>12y−3

Answer:

x>12y−3

now just graph 4x-5y<1 shows the given inequalities in slope -intercep form.

4 0
3 years ago
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