how much money must be loaned to receive 15,000 if the money is loaned for 5 years at 12% interest

step 1

see the attached figure to better understand the problem'

step 2

Hypotenuse is AB

Opposite side is BC

Adjacent side is AC

because, the opposite side is the side opposite to the given angle (35 degrees)

adjacent side is the side adjacent to the given angle (35 degrees) and the hypotenuse is the greater side of a right triangle (is the opposite side to the angle of 90 degrees)

step 3

To find out the value of L

we use

cos(35)=40/L -----> adjacent side divided by the hypotenuse

step 4

solve for L

L=40/cos(35)

step 5

L=48.83 ft

step 6

the length of the ladder must be greater than 48.83 ft

step 7

A 50 ft ladder long is enought

because 50 > 48.83

x = -1

The given equations:

y = 2x - 6

y = -6x - 14

Since both equations are equal to y, we will equate the right hand side of both equations.

y = y

2x - 6 = -6x - 14

collect like terms:

2x + 6x = -14 + 6

8x = -8

divide both sides by 8:

8x/8 = -8/8

x = -1

The procedure describe a completely randomized design for this research as B. Yes, the subjects are randomly assigned to each treatment.

In a randomized block design, the experimental units are divided into groups that we refer to as blocks. The experimental units inside each of the blocks will then be randomly assigned treatments.

As we can see from the question, they were divided into Blocks based on how much sun exposure they received while engaging in outdoor activities. After that, random treatments are assigned to each group.

Here, the participants are divided into groups based on their sun exposure, and then both treatments are distributed at random among the groups.

Learn more about research on:

https://brainly.com/question/20432239

#SPJ1

If Greg has 1 1/2 servings of cereal for breakfast each day, he can consume 8 breakfasts from a box of cereal.

The price of one breakfast from a regular-sized box of cereal is $0.54 if the box costs $4.29.

Greg could consume 4 additional breakfast portions from a single family-sized box.

A regular-sized box of cereal = 12 servings

If Greg eats 1 1/2 servings for breakfast every day

Number of breakfast Greg can eat in a regular-sized box = A regular-sized box of cereal / servings of breakfast eaten everyday

= [tex]\frac{12}{\frac{11}{2} }[/tex]

=[tex]\frac{12}{\frac{3}{2} }[/tex]

multiply by the reciprocal of [tex]\frac{3}{2}[/tex]

= 12 × [tex]\frac{2}{3}[/tex]

= [tex]\frac{24}{3}[/tex]

= 8 breakfast

Cost of regular-sized box of cereal = $4.29.

Cost of one breakfast from a regular-sized box of cereal = Cost of regular-sized box of cereal ÷ Number of breakfast Greg can eat in a box

= [tex]\frac{4.29}{8}[/tex]

= 0.53625

Approximately,

$0.54 per breakfast

If Greg purchased the family-sized box of cereal that contains 18 servings

Family-sized box of cereal divided by the daily serves of breakfast is the number of breakfasts Greg can consume.

= 18 servings / [tex]\frac{11}{2}[/tex]

= 18 ÷[tex]\frac{3}{2}[/tex]

= 18 × [tex]\frac{2}{3}[/tex]

= [tex]\frac{36}{3}[/tex]

= 12 servings

Consequently, the number of additional breakfasts Greg may consume from a single family-sized package

= Number of breakfast Greg can eat in a family-sized box - Number of breakfast Greg can eat in a regular-sized box

= 12 servings - 8 servings

= 4 servings

To learn more about unit rate visit :

brainly.com/question/28827443

#SPJ13

Answer:

Explanation:

Given the equation:

To solve for k, let us take the reciprocal of both sides, so that k is a numerator.

Multiply both sides by 12

Answer:    Uhm hold on

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

[tex]\frac{(700)(0.1)(0.3)}{0.3}=70[/tex]

The option that can be the length of one wall with the correct number of the significant digit is A)2.51 meters.

From the information given, Janna is measuring the dimensions of her bedroom to determine how much paint she should buy for the walls was stated that the measurements have increments of 0.01 meter.

It's important to note that there are 2 decimal places.

In this case, the appropriate option is 2.51 meters.

In conclusion, the correct option is A.

Learn more about digit on:

brainly.com/question/26856218

#SPJ1

1st term

Given:

With the formula of the sequence:

________

Second term:

____________

Third term:

_________

Fourth term:

-________________

Fifth term:

The greatest number of bouquets that the florist can make is 12.

The greatest number of bouquets that the florist can make can be determined by calculating the highest common factor of 60 and 72. The factor of a number is the number that divides another number without any remainder. The highest common factor of two or more numbers is the highest factor that is common to two or more numbers.

Factors of 60 =1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

Highest common factor = 12

To learn more about highest common factor, please check: brainly.com/question/26073850

#SPJ1

Starting from the given formula:

Multiply both sides of the equation by 2:

Divide both sides by h:

Substract a from both sides of the equation:

Therefore:

Here, we want to calculate the interquartile range

Mathematically, this is the difference between the lower quartile (1st quartile or 25th percentile) and the upper quartile (3rd quartile or 75th percentile)

We already have the numbers arranged from top to bottom

The count of numbers is 9 numbers

We have the first quartile as;

The third term here is the weight of baby Selena

The 3rd quartile can be calculated as;

The 8th term is the weight of baby Me

The difference between these weights give the interquartile range as follows;

ANSWER

3200 m²

EXPLANATION

Peter wants to build a fence around a rectangular field, except for one side because the river is there,

So, the total perimeter of the fence is,

And this is equal to 160 m. Solving for L,

The area of this field is,

Replace L with the expression we found from the perimeter,

The area is given by a quadratic function whose leading coefficient is negative, which means that the graph is a downward parabola and, therefore, the vertex is the maximum value of the area.

The x-coordinate of the vertex is given by,

In this case, x is W, a = -2, and b = 160, so the width of the field for the maximum area is,

And the length when W = 40 is,

And the area is,

Hence, the largest area of Peter's farm that can be fenced is 3200 square meters.

First, we need to change 1.476 minute to seconds

1.476 minutes = 1.476 x 60= 88.56 seconds

Let the number of times they flap there wings in 1.476 minute be X

69 times = 4 seconds

X = 88.56 seconds

cross-multiply

4X = 69(88.56)

4X= 6110.64

Divide both-side of the equation by 4

X = 1 527.66 ≈ 1 528 times

We know that the ratio of pink markers to total markers is 1:3.

This means that for every 3 markers, one of them is pink. The other 2 will be yellow markers.

We can write that the ratio of pink markers to yellow markers is 1:2, based on the last sentence. This means that if we have N yellow markers, we will have N/2 pink markers.

Then, if we have 16 yellow markers, then we will have 16/2=8 pink markers.

The given expression : y-1=2/3(x-3)

Simplify the equation :

for the graph we need atleast two coordinates

Let at x=0 then

y=2/3(0)-1

y=-1

Cooridnate = (0,-1)

Now, let x=9 then

y=2/3(9)-1

y=2(3)-1

y=5

Coordinate =(9,5)

Plot these point (0,-1) & (9,5)on the graph and join them by staright line

The graph will be ;

Answer:

yh no question....thanks for the points tho :)

Step 1:

Concept:

Use the rate of change formula below.

Step 2

Find k(a) and k(b)

Step 3:

By using products and percentages, the grandson had the amount of $ 225 before to buy foods and beverages.

In accordance with the statement, the grandson spent 80 % of all his amount to buy some food, later 40 % of the remaining money to buy some beverages and there was $ 27 remaining. We need to determine the amount that the grandson had initially. Then, the situation can be described by the following mathematical expression:

(1 - 80 / 100) · (1 - 40 / 100) · x = 27

(20 / 100) · (60 / 100) · x = 27

(1200 / 10000) · x = 27

(12 / 100) · x = 27

12 · x = 2700

x = 2700 / 12

x = 225

By means of percentages, the grandson had an amount of $ 225 before buying foods and beverages.

The name of the grandson cannot be added due to profanity detector.

To learn more on amounts and percentages: https://brainly.com/question/14979505

#SPJ1

The probablity that first one selected is a criminal justice major is,

Now, the probablity that second one is a criminal justice major is when selected without replacement,

Simirally,

Thus, using the multiplication theorem,

Thus, the above equation gives the requried probablity.

Equivalent linear expressions are expressions that have the same value. That is, if you have two linear expressions that are equivalent to one another, and you plug the same value in for the variable in each of them, you will get the same result in each of them.

In the case of this question, the equaivalent expression can be gotten by factorizing the expression

Answer:

250

Step-by-step explanation:

everything u need is in the picture

Let's see how two points on the left are mapped to their corresponding points on the right:

Point A has a corresponding point at A'. We have:

f(A) = A'

f(-6, -3) = (2, 4)

Point B has a corresponding point at B'. We have:

f(B) = B'

f(-4, -1) = (4, 6)

Now, notice that:

2 = -6 + 8

4 = -3 + 7

So, for (x, y) = (-6, -3), we have:

f(x, y) = (2, 4) = (x + 8, y + 7)

Notice that the same happens to the mapping of the other point:

4 = -4 + 8

6 = -1 + 7

So, for (x, y) = (-4, -1), we have:

f(x, y) = (4, 6) = (x + 8, y + 7)

Therefore, the rule for the transformation is

f(x, y) = (x + 8, y + 7)

The inequality that represents the number of auction tickets,t, the student council must sell is given as 125t ≥ 2000.

Inequalities are created through the connection of two expressions. It should be noted that two expressions in an inequality aren't always equal. They are denoted by the symbols ≥ < > ≤ 

Let the total number of tickets be represented by t.

The auction ticket costs $125 and the student council needs to raise greater than or equal t $2,000. This will be 125t ≥ 2000.

Learn more about inequalities on:

brainly.com/question/25275758

#SPJ1

A change in temperature of 6°C is equivalent to a

change in temperature of 10.8°F

From the table drawn:

A change in temperature of 1°C is equivalent to 1.8°F

A change in temperature of 2°C is equivalent to 3.6°F

Following the relationships above, we can conclude that the relationship between °C and °F is:

°F = 1.8 °C

Therefore, a change in temperature of 6°C will be equivalent to:

°F = 1.8 °C

°F = 1.8 x 6

°F = 10.8°F

Karma will make $99.78 if she sells 110 pounds of rice to the vendor

Quantity of rice available with Karma = 110 pounds

A pound is a unit of weight that is mostly used in the United States, Great Britain, and other English-speaking nations. A pound is approximately 0.454 kilos. A quantity of something is said to weigh one pound if it weighs that much.

The conversion rate of pounds to grams:

1 pound = 453.59 grams

So, 110 pounds will be equal to:

110*453.59

=49894.9 grams

Selling price for 5 grams = $0.01

Selling price for 1 gram:

The selling price of 5 grams/ Price for 5 grams

0.01/5

=$0.002

Selling price for 49894.9 grams = 49894.9*0.002

= $99.78

Learn more about profits:

https://brainly.com/question/15293328

#SPJ1

Answer:

y = 3x + 3 :D

Step-by-step explanation:

Equation of line: y = mx + b :)

b: Y intercept

m: Slope

Now lets solve :)

Lets find M first :)

We need 2 points so lets use (0,3) and (1,6) :)

We fist need to subtract :)

6 - 3 = 3

1 - 0 = 1

Now we divide :)

3/1 = 3

Lets put that into our equation :)

y = 3x + b

Now lets find B :)

To find b, we need to see where the line intercepts the y axis! This will be at point (0,3)!

The y intercept will be 3 :)

The final equation will be y = 3x + 3 :)

Have an amazing day!!

Please rate!

Answer:

2777.7777... subs

Step-by-step explanation:

11000+400+1300+300=13000

6-1.32=4.68

13,000/4.68

=2777.777777...

As Ekua has to spend $280 per month and the cost of each sheet is $9.50 / dollar. The inequality followed is T≤29.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.

To ascertain the maximum or lowest values of a scenario with many restrictions, a system of linear inequalities is frequently utilized. Inequalities reflect a limit of what is permitted or achievable rather than a precise quantity.

It is given that Ekua designs and sells T-shirts for $1 13 each. Ekua has to spend $280 per month, $9.50 dollar per T-shirt ordered.

We have to find the maximum number of T-shirts she can buy,

⇒  $280 /  $9.50

⇒ 29.47 ≅29

Thus, Ekua has to spend $280 per month and the cost of each sheet is $9.50 / dollar. The inequality followed is T≤29.

Learn more about inequality here:

brainly.com/question/19491153

#SPJ1