Check the pic please
With steps please

Answer:

2.02955

Step-by-step explanation:

Given that:

Susan invests $Z as each year ends for seven years.

So we assume that Z = 1

Susan's accrued value comprises $7 invested each year at a 6 percent annual effective rate.

The cashflow interest:

The cashflow of Susan interest payments are:

Payments   Time

0                     1

0.05               2

2(0.05)           3

3(0.05)           4

4(0.05)            5

5(0.05)            6

6(0.05)            7

The accumulated value of this cash flow is:

[tex](0.05)I_{6\%} = (0.05) \dfrac{((1+0.06)_{6\%} - 6)}{0.06} \\ \\ \implies 1.1653[/tex]

So Susan accumulated values is:

X = 7 + 1.1653

X = 8.1653

Lori's accumulated value is $14, which she has set aside to plan her cash flow for interest.

The cashflow of Lori interest payments are;

Payments    0     0.025     2(0.025)       3(0.025)    .........   13(0.025)

Time             1        2              3                    4            ..........  14

The accumulated value of cash flow is:

[tex](0.025 )(I)_{3\%} =(0.025) \dfrac{(1+0.03)_{3\%}-13}{0.03}\\ \\= 2.5719[/tex]

Now, Lori's accumulated value is:

Y = 14 + 2.5719

Y = 16.5719

Since; Susan value X = 8.1653

Lori's value Y = 16.5719

∴

[tex]\dfrac{Y}{X}= \dfrac{16.5719}{8.1653}[/tex]

= 2.02955

Answer:

67

Step-by-step explanation:

4x+3+15x-8=90(complementary angle)

x=5

now D = 15*5-8

d=67

Answer:

Step-by-step explanation:

The odds of grabbing a yellow marble from the bag are 7/30 or 0.233.

It is a branch of mathematics that deals with the occurrence of a random event.

The odds of grabbing a yellow marble can be find by dividing the number of yellow marbles by the total number of marbles in the bag:

Odds of grabbing a yellow marble = Number of yellow marbles / Total number of marbles

By given there are 7 yellow marbles and a total of 30 marbles in the bag, so:

Odds of grabbing a yellow marble = 7 / 30.

Therefore, the odds of grabbing a yellow marble from the bag are 7/30 or approximately 0.233 or 23.3%.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

Answer:

20 books

Step-by-step explanation:

Height of stack = 35 inches

Thickness of one book [tex] =1\frac{3}{4} =\frac{7}{4}\: in [/tex]

No. of books

[tex] = 35 \div \frac{7}{4} \\ \\ = 35 \times \frac{4}{7} \\ \\ = 5 \times 4 \\ \\ = 20[/tex]

Answer:

Total = Principal * (1 + rate)^2

Total = 12,484 * (1.08)^2

Total = 14,561.34

Source http://www.1728.org/compint.htm

Step-by-step explanation:

Answer:

I believe it would be 4 seconds

Step-by-step explanation:

PLATO/Edmentum

The time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.

A function assigns the value of each element of one set to the other specific element of another set.

Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function.

Let t represent the time, in seconds, since the friends started seesawing.

The friends start seesawing with the plank in a level position. The initial position at 0 of them is at 24.

The group has to come back to this position after moving upward and downward. The time it takes to reach upward is,

[tex]f(48)=t_{up}\\f(48)=1[/tex]

The time it takes to reach downward after going upward is,

[tex]f(0)=t_{down}\\f(0)=3[/tex]

Coming back to initial potion,

[tex]f(24)=t_{i}\\f(24)=4[/tex]

Thus, the time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ2

Answer:

Step-by-step explanation:

curtis is 22 min 16 sec carol is 18 min 6 sec

4 mins and 10 seconds it the difference

Answer:

6 - F - R = 2

Step-by-step explanation:

Since six eggs sat in a basket overnight, and a fox came and took an unknown amount, and a raccoon came and took an unknown amount, with which in the morning there were only two eggs left, to write an equation showing how six eggs were reduced to two eggs the following reasoning must be raised:

6 = Starting number

F = Eggs stolen by the fox

R = Eggs stolen by the raccoon

6 - F - R = 2

Answer:

-5/3

Step-by-step explanation:

-9/5 + -2/3 + 1/5 + 3/5

= (-9/5 + 1/5 +3/5) - 2/3 (combine the like terms)

= -1 - 2/3

= -5/3

Answer:

14

Step-by-step explanation:

Answer:

7x + 3

Step-by-step explanation:

Let's simplify step-by-step.

8x + 7 − x − 4

= 8x + 7 + −x + −4

Combine Like Terms:

= 8x + 7 + −x + −4

= (8x + −x) + (7 + −4)

= 7x + 3

Answer:

= 7x + 3

hope this helps and is right. p.s i really need brainliest :)

if my answer is wrong then I am incredibly sorry!

Answer:

65°

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.

Side AR and Side TE are corresponding. Use this proportion.

[tex] \frac{6}{8} [/tex]

This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.

We know that RS+ST=21

And that RS=3/4(ST).

[tex] \frac{3}{4} x + x = 21[/tex]

[tex]1.75x = 21[/tex]

x=12.

Side ST is 12

Answer:

3 2/3 inches (the last one)

Answer:

[tex]maybe \: letter \: a[/tex]

Answer:

2

Step-by-step explanation:

One outfit consists of one shirt, one pair of shoes, and one pair of jeans. In this problem, there are five jeans, six shirts, but only two pairs of shoes, which only makes two complete outfits.

If you had the above number of shirts, jeans, and shoes, the number of possible outfits you can make is 60 outfits.

An outfit requires only one each of a shirt, a pair of jeans and a pair of shoes.

If you have six shirts, five pairs of jeans, and two pairs of shoes, the number of outfits you can make using on of each is:

= Number of shirts x Number of jeans x Number of shoes

= 6 x 5 x 2

= 60 outfits

In conclusion, you can make 60 outfits.

Find out more at https://brainly.com/question/7295418.

Answer:

48 is the answer

Step-by-step explanation:

The longest side of the similar triangle whose perimeter is 75 is 33 units.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

The sides of the given triangle are,

6 units, 8 units and 11 units.

Also given that,

There is a similar triangle whose perimeter is 75 units.

To find the longest side of the similar triangle,

Let the sides of the similar triangle are 6x, 8x and 11x

The perimeter of triangle = 75

Implies that,

6x + 8x + 11x = 75

25 x = 75

x = 3

Since, the longest side of the similar triangle = 11 x

Substitute x = 3 here,

Longest side = 11 × 3 = 33 units

The required side of similar triangle is 33 units.

To know more about Triangle on:

https://brainly.com/question/2773823

#SPJ2

Answer: 3084

Step-by-step explanation: 14•17=238 238•13=3084

Answer:

3094

Step-by-step explanation:

l=13   w=17   h=14

v = L W H

V= ( 13 ) ( 17 ) ( 14 )

V= 3094 meters 3

 Your Solution:

                       V= 3094

9514 1404 393

Answer:

  obtuse, straight

Step-by-step explanation:

If you insist on two answers, there is only one pair of answers that are self-consistent:

  obtuse, straight

__

m∠A = (11(13) +37)° = (143 +37)° = 180° . . . . a straight angle, also obtuse

Answer:

A = 15  B = 25       in four years  19+29 = 48

Step-by-step explanation:

age A and B ratio is 3 to 5

A+4 + B+4 = 48

    A + B  = 40

    A/B = 3/5     A = 3B/5

    A + B  = 40

 3B/5 + B  = 40

   3B  + 5B = 200          multiple both sides by 5

       8B  = 200

         B  =  25

         A  = 3B/5

         A  = 3(25)/5

         A  = 15

Answer:

15

Step-by-step explanation:

9514 1404 393

Answer:

  67 feet

Step-by-step explanation:

The perimeter is the sum of the base length and the two equal sides (s).

  190 = 56 +2s

  134 = 2s . . . . . . subtract 56

  67 = s . . . . . . . . divide by 2

Each of the equal sides is 67 feet long.

Answer:

its the first one. Times the bigger numbers and add the indices. so it 16^7

Answer: A 16(7)

Step-by-step explanation:

First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.

Answer:

For every even numbered room an even numbered guest is assigned to it and for every odd numbered room an odd numbered guest is assigned to it

Step-by-step explanation:

Given that the Hotel is empty and every passenger stands for each positive integer and each number of room represents positive numbers as well

Hilbert can assign people to rooms by using a plot of first come first serve

i.e. For every even numbered room an even numbered guest is assigned to it and for every odd numbered room an odd numbered guest is assigned to it

Answer:

They are equal.

Step-by-step explanation:

Answer:

both are equal its just a zero added

Answer:

Step-by-step explanation:

Base perimeter: 4 x 2 x π = 8π

LA = 8π x 6 = 48π

Base area = 4^2π = 16π

SA = 16π x 2 + 48π = 80π

V= 16π x 6 = 96π

Answer:

they left at 12:34

Step-by-step explanation:

I did the math

9514 1404 393

Answer:

  12:33 pm

Step-by-step explanation:

Often, problems involving addition and subtraction of time values are best worked in 24-hour "military" time.

Here, we want to know the time that is 2:36 before 3:09 pm. We can write 3:09 pm as 15:09. Then the difference is ...

  starting time + travel time = ending time

  starting time = ending time - travel time

  starting time = 15:09 -2:36 = (15-2):(09-36) = 13:(-27) = 12:33

Mr Lopez's family left at 12:33 PM.

__

There are 60 minutes in an hour. 60-27=33.

Answer:

105m^3

Step-by-step explanation:

The volume of a rectangular prism is calculated by multiplying l*w*h. Basically, just multiply all the numbers together.

So that would be 3*5*7

Answer:

5.32 percent of the tip

Answer:

True.

Step-by-step explanation:

You can use the cross-multiply rule.

The rule states that when you multiply the numerator of one fraction by the denominator of the second fraction, the products should be equal.

3/12 = 1/4

3 x 4 = 12

12 x 1 = 12

Therefore, 3/12 is equivalent (equal) to 1/4.

Yes the statement is true .

3/12 is equal 1/4

Here

Use cross-multiply rule.

The rule states that when you multiply the numerator of one fraction by the denominator of the second fraction, the products should be equal.

3/12 = 1/4

3 x 4 = 12

12 x 1 = 12

Therefore, 3/12 is equivalent to 1/4.

Know more about cross multiply,

https://brainly.com/question/28308012

#SPJ6