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Tasya [4]
2 years ago
10

When Kylie asked her grandfather how old he was, he replied, "the two digits in my age are the ages of your brother isaac and si

ster kendra. if you add their ages to mine, the sum is 83." how old is kylie's grandfather
Mathematics
1 answer:
Kitty [74]2 years ago
6 0

Answer:

Kylie's grandfather is 73 years old.

Step-by-step explanation:

Let the first digit in Kylie's grandfather's age be x, which is the age of Isaac

Let the second digit in Kylie's grandfather's age be y, which is the age of Kendra.

Therefore from the given information we can say that

(10x + y) + x + y = 83

therefore 11x + 2y = 83

Let us take x  = 7 then we get  77 + 2y = 83 \Rightarrow y = 3

Therefore we can say Issac's age is 7

and Kendra's age is 3

and the age of Kylie's grandfather is 73.

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For the given bond, whose interest rate is provided, find the semiannual interest payment and the
Vika [28.1K]

Answer:

The semiannual interest payment is $485.5

The total interest earned over the life of the bond is $10,681

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

  • P is the money invested
  • r is the interest rate in decimal
  • t is the time in years

∵ The bond is $20,000

∴ P = 20,000

∵ First Income Fund 11-year bond at 4.855%

∴ t = 11

∴ r = 4.855%

- Change it to decimal by divide it by 100

∴ r = 4.855 ÷ 100 = 0.04855

∵ The semiannual interest payment = P × r × half a year

∴ The semiannual interest payment = 20,000 × 0.04855 × \frac{1}{2} (1)

∴ The semiannual interest payment = 485.5

The semiannual interest payment is $485.5

∵ I = Prt

- Substitute the values of P, r and t in the formula

∴ I = 20,000(0.04855)(11)

∴ I = 10,681

The total interest earned over the life of the bond is $10,681

6 0
3 years ago
what is a problem that requires multiplying two decimals to find the answer?product must have two decimal places.
andrew11 [14]
1.72 X 3= 5.16 Hope this helps :)
4 0
3 years ago
A store asked 250 of its customers whether or not they were satisfied with the service. The responses were also classified accor
anyanavicka [17]

Answer:

Correct option: e) a two-way table.

Step-by-step explanation:

In this case the store wants to see whether there is a relationship between the satisfaction level of the customer and their gender.

In statistics when there is a need to analyze or derive a relation between two categorical variables one should use a two-way table.

Categorical variables are qualitative variables that take on specific values that are usually labels. For example, grades obtained in an exam, gender, etc.

In this case the two categorical variables are: Gender and Satisfaction level.

To study the relation between the gender of a customer and their satisfaction level use a two-way table.

 

3 0
3 years ago
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te
MAXImum [283]

Answer:

  C.  <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

  • vertical scaling by a factor of 'a'
  • left shift by k units
  • up shift by c units

<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

  • k = 3
  • c = -4

The graph says the value of c is less than zero.

__

<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

  f(x) = 2(x +3)^(1/3) -4

8 0
1 year ago
The sum of a number wand 4 is more than -12.
Mazyrski [523]
The answer is w + 4 > -12
4 0
2 years ago
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