The function f(x)=5000(0.98)^0.3x

The ages of four sisters are consecutive even integers. Two times the age of the youngest sister exceeds the oldest sister's age

S_A_V [24]

Alright, lets get started.

The ages of all four sisters will be = x, x+2, x+4, x+6

As per given in question, two times of youngest sister age exceeds the oldest sister age by 30 means

$2x - 30 = (x+6)$

Simplifying the equation

$2x - (x+6) = 30$

$2x - x - 6 = 30$

$x = 36$

So this is the age of youngest sister.

So, age of oldest sister will be $x + 6 = 36 + 6 = 42$

Hene the age of oldest sister is 42 years. : Answer

Hope it will help :)

5 0

3 years ago

Read 2 more answers

You purchase 26 parking hours that you can use the next month to park your food truck at the fair. Weekday hours park $2 per hou

ICE Princess25 [194]

Answer:

Number of week day hours purchased is 5

Step-by-step explanation:

Total number of Parking hours purchased = 26 parking hours

Parking cost on weekdays = $2 per hour

Parking costs on weekends = $10 per hour

Total amount spent on parking = $220.

To Find:

Number of week days purchased = ?

Solution:

Let

The number of week days purchased be x

The number of weekends purchased be y

We know that the total hours purchased is 26

So,

x+y = 26

y = 26-x------------------------------------------------------(1)

Now the total cost is 220

(Total number of weekdays X cost per weekday ) +(Total number of weekends + cost per weekend) =220

Substituting the values

=> $x\times 2 + y \times 10$ = 220

=> $x \times 2 + (26-x) \times 10 =220$

=>2x + 260 -10x =220

=>260 -8x = 220

=>260 -220 =8x

=>40 = 8x

=>x= $\frac{40}{8}$

x= 5-------------------------------------------(2)

Now substituting (2) in (1) we get

y= 26-5

y= 21

7 0

3 years ago

Which set of side lengths forms a right triangle?

pochemuha

Awnser:

9,12,18

Step-by-step explanation:

you have to add the smallest numbers together and it has to be greater that the greatest number.

9+12= 21

21>18

4 0

3 years ago

Write a function rule for the area of a triangle whose base is 4 ft more than the height. What is the area of the triangle when

solong [7]

Answer:

A) Area as function of H ,

F'(a) = 2 +H

B) Area of triangle with height 6ft = 30 ft²

Step-by-step explanation:

Given as for a triangle ,

Let the height of triangle = H ft

And base = 4 ft + H ft

Now area of triangle = $\frac{1}{2}$ × height × base

F (a) = $\frac{1}{2}$ × H × ( 4ft + H ft)

Or, F (a) = $\frac{1}{2}$ × ( 4H + H² )

Now, here Area is function of height ,

So , F'(a) = $\frac{1}{2}$ (4 + 2H)

Hence Area as function of H ,

F'(a) = 2 +H

Now For height = 6 ft

Area of triangle = $\frac{1}{2}$ × height × base

= $\frac{1}{2}$ × H × ( 4ft + H ft)

= $\frac{1}{2}$ × ( 4H + H² )

= $\frac{1}{2}$ × ( 24 + 36 )

= $\frac{1}{2}$ × ( 60 )

= 30 ft²

Hence Area of triangle with height 6ft = 30 ft² Answer

6 0

3 years ago

A chicken salad recipe calls for 1 8

NARA [144]

Answer: $1.0625\ pounds$ or $\frac{17}{16}\ pounds$

Step-by-step explanation:

The complete exercise is: "A chicken salad recipe calls for $\frac{1}{8}$ pound of chicken per serving . How many pounds of chicken are needed to make $8\frac{1}{2}$ serving".

You can convert the Mixed number to a Decimal number. Divide the numerator 1 by the denominator 2 and then add the quotient to the Whole number. Then, you get:

$8+0.5=8.5$