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LenKa [72]
3 years ago
15

Keegan deposited $700 into his bank account. After one year, his bank account balance was $761.60. What interest rate did he ear

n?
Mathematics
1 answer:
ikadub [295]3 years ago
7 0

Answer:

8.8%

Step-by-step explanation:

We first divide the new amount by the original and close it with brackets.

Our one year will be shown as 1/1 as an indices

(761.60/700)^1/1

= 1.088

We then convert it to 0.088 and times it by 100.

0.088×100= 8.8% Compound interest rate.

This is correct as:

700×1.088= 761.6

Have a nice day! :)

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A catering service offers appetizers, main courses, and desserts. A customer is to select appetizers, main courses, and desserts
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Answer:

6

Step-by-step explanation:

We have 3 items (n = 3),

Appetizers = A

Main course = M

Dessert = D

which can be ordered in 6 different ways. The problem is solved by thinking it as a permutation of 3 elements.

The formula for that is:

P = n!

P = 3! = 3 x 2 x 1 = 6

Let's see check it:

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3 years ago
What number can go in the box to make the number sentence true?
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Suppose there are 6 runners in the finals of a 100 m sprint, Abbie, Becca, Clarice, Danna, Emma, and Francine. Answer each of th
riadik2000 [5.3K]

Step-by-step explanation:

1. Abbie's chance to place first is 12÷100 = 0.12              12÷100 = 0.12

and Becca's chance to place second is 8÷100= 0.08     8÷100= 0.08

We can determine the probability that Abbie will place first and Becca will place second because ., Abbie gets more chance than Becca                             (0.12 -0.08 =0.04) to get first place

2. Danna's chance to place first is P(A) = 48÷100 = 0.48   48÷100 = 0.48

Francine's chance to place second is P(B) = 32 ÷100 = 0.38    32 ÷100 = 0.38

The probability that Danna or Francine wins the race is

=  P(A or B) = P(A) +P(B) - P(A and B)

= 0.48 +0.32 - (0.48× 0.32)  0.48 +0.32 - (0.48× 0.32)

= 0.8 - 0.15 = 0.65       0.8 - 0.15 = 0.65

3. Yes .,that Grace's probabilities were wrong  Because Grace only informs about the winning chance of  Abbie, Becca ,Danna,and Francine.

Grace gives 12% to Abbie and 48% to Danna ., in real Abbie won the first place ., so ., Grace's probabilities were wrong

4 0
3 years ago
Given the coordinates of the vertices of a quadrilateral, determine whether it is a square, a rectangle, or a parallelogram. The
vodomira [7]

Answer:

2) ABCD is  a RECTANGLE.

Perimeter  =  30 units

Step-by-step explanation:

Here, the given points of the quadrilateral are:

A(6, –4), B(11, –4), C(11, 6), D(6, 6)

Now, if P(a,b) and Q(c,d) are any two given points, then the distance between them is given by DISTANCE FORMULA as:

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Use this to find the length of all 4 sides:

AB with coordinates A(6, –4), B(11, –4)  is given as:

AB = \sqrt{(11-6)^2 + (-4-(-4))^2} =  \sqrt{(5)^2 + 0} = 5

⇒ AB = 5 units

BC with coordinates B(11, –4), C(11, 6)  is given as:

BC = \sqrt{(11-11)^2 + (6-(-4))^2} =  \sqrt{(0)^2 + 10^2} = 10

⇒ BC = 10 units

CD with coordinates C(11, 6), D(6, 6)  is given as:

CD = \sqrt{(11-6)^2 + (6-6)^2} =  \sqrt{(5)^2 + 0} = 5

⇒ CD = 5 units

AD with coordinates A(6, –4),D(6, 6)  is given as:

AD = \sqrt{(6-6)^2 + (-4-(-4))^2} =  \sqrt{(0)^2 + 10^2} = 10

⇒ AD = 10 units

Now, here AB  = CD =  5 units, AD = BC  = 10 units

Also, in a RECTANGLE, OPPOSITE SIDES ARE EQUAL IN LENGTH.

Hence, ABCD is  a RECTANGLE.

Perimeter  = AB + BC+ CD  + AD = 5 + 10 + 5 + 10 = 30 units

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