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svetoff [14.1K]
3 years ago
14

Suppose Cho deposits $200 into a bank account for 3 years. The annual interest rate is 5%. Find the simple interest earned.

Mathematics
1 answer:
Mars2501 [29]3 years ago
8 0
Simple interest is given by the formula:
S.I=PRT/100
where:
P=principle
R=rate
T=time
From the information given:
P=$200, r=5%, t=3 years.
Plugging into the formula we obtain:
A=200×5/100×3
simplifying we obtain:
A=$30

Answer is: A] $30
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Marcus is 5 7/8 feet tall. Ben is 5 5/16 feet tall. Which of the two boys is taller? Justify your answer
babymother [125]

Answer:

12345

Step-by-step explanation:

3 0
3 years ago
Suppose we want to choose 4 colors, without replacement, from 18 distinct colors.
amm1812

Answers:

  • (a) 73440
  • (b)  3060

=====================================================

Explanation for part (a)

Consider four slots labeled A,B,C,D.

We have

  • 18 choices for slot A
  • 17 choices for slot B
  • 16 choices for slot C
  • 15 choices for slot D

We started at 18 and counted down until we filled the four slots. The countdown is because we cannot repeat a color. Multiply out those values to get the answer: 18*17*16*15 = 73440

You can use the nPr permutation formula as an alternative method

_nP_r = \frac{n!}{(n-r)!}

in this case n = 18 and r = 4. The exclamation marks indicate factorial.

-----------------------------------

Explanation for part (b)

Let's say we had color labels A,B,C,... all the way up to R which is the 18th letter in the English alphabet. From those 18 letters, we can only pick four. Let's say we pick D,E,F,G.

Focusing solely on the set {D,E,F,G}, we only have one set and the order doesn't matter. So {D,E,F,G} is the same as {D,E,G,F}.

There are 4*3*2*1 = 24 ways to arrange those four items meaning that we'll need to divide the result of part (a) by 24 to get the result of part (b)

73440/24 = 3060

You could use the nCr combination formula to get the same result

_nC_r = \frac{n!}{r!(n-r)!}

where n = 18 and r = 4 are the same from last time.

The connection between nPr and nCr is this

_nC_r = \frac{_nP_r}{r!}

which can be rearranged into

_nP_r = r!*\left( _nC_r \right)

these formulas are handy to help us go back and forth between nCr or nPr.

8 0
3 years ago
Please help meeeeeeeeeeeeeee
never [62]

Answer: B and C

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Urgent help!!!<br> I'll choose brainlest!<br> Plsss
kipiarov [429]
A) volume equals = length x width x height
2.8m is the height
1.2m is the width
4.8m is the length
so 2.8m x 1.2m x 4.8m = 16.128m³  is your answer
b)1 cubic meter is 1000
2.8m = 2800L
1.2m = 1200L
4.8m = 4800L
so your going to add those up
2800L + 1200L + 4800L = 8800L  is you answer



7 0
3 years ago
Read 2 more answers
Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul
aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, 18 inches =  1.5 ft

Thus, the length of the rug is l=1.5+w

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

A=length\times width

10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5  and   w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting w=2.5 in l=1.5+w, we get,

l=1.5+2.5\\l=4

Thus, the length of the rug is 4 ft.

4 0
3 years ago
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