Work out the balance for £1500 invested for 2 years at 3.7% per annum

Answers

Answer 1
Answer: Given:
Principal = 1,500
term = 2 years
interest rate = 3.7% per annum

Simple Interest = Principal * interest rate * term
S.I = 1,500 * 0.037 * 2
S.I = 111

Total value = 1,500 + 111 = 1,611

Compound interest
A = P (1+r/n)^nt
where n is the number of times interest is compounded. Assuming interest is only compounded once.

A = 1,500(1+0.037/1)^1*2
A = 1,500(1.037)²
A = 1,500(1.075369)
A = 1,613.0535


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If two adults and three children go to the movies, it costs $31.50. If one adult and five children go to the movies, it costs $35.00. What is the cost of one adult movie ticket? $5.50 $6.50 $7.50

Answers

The adult ticket would cost $7.50

Answer:

The kids is 5.50 adult is 7..50

Step-by-step explanation:

we create an equation

2x + 3y =31.50

and

1x + 5y=35.00

1x is just x so we subtract 5y from both sides

x= 35.00-5y

fill x with 35.00-5y

2(35.00 - 5y) + 3y = 31.50

70.00 - 10y +3y = 31.50

-10y + 3y = -38.50

-7y=-38.50

-7y/-7= -38.50/-7

y=5.50


Ari is designed a patio that will be 20 feet long and 16 feet wide. He makes a scale drawing of the patio using a scale of 1 inch to 4 feet. The ratio of the area of the scaled drawing to the actual area of the patio is 1 square inch to _ square feet ?

Answers

Answer:

the ratio of the area of the scaled drawing to the actual area of the patio is 1 square inch to 16 square feet.

Step-by-step explanation:

The actual area of the  patio:

A = 20 feet long *16 feet wide = 320 square feet

The dimensions of the scale drawing are:

20:4=5\ in\text{ and }16:4=4\ in,

=> The scaled drawing area of the patio:

A = 5 in long * 4  in wide

= 20 square in

The ratio of the area of the scaled drawing to the actual area of the patio is:

20:320=1:16  

the ratio of the area of the scaled drawing to the actual area of the patio is 1 square inch to 16 square feet.

16 square ft.

If 1 in is equal to 4 ft, then the area of a 4ft by 4ft square is 16 ft

Write the sum of numbers as a product of their gcf and another sum 36+45

Answers

So, the sum of numbers will be the result of 36+45, that is 81.

Let's find the GCF: it's at least 9, since both numbers are divisible by 9 (36/9=4; 45/9=5)

so 81 (the sum of the numbers) equals 9*9 (where 9 is the gfc)

and the answer is 81=(4+5)*9, where 4+5 is the "another sum".

An equation stating that two ratios and rates are equivalent is a(n)

Answers

A proportion is an equation that states that 2 ratios are equal.

Which phrase describes a nonlinear functiona The area of a circle as a function of the radius
b the perimeter of a square as a function of the side length
c the cost of gasoline as a function of the number of gallons purchased
d distance traveled by a car moving at constant speed as a function of time

Answers

The solution is Option A. The area of a circle as a function of the radius

The phrase which describes a non linear function is the area of a circle as a function of the radius

What are Linear Equations?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution

On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.

Given data ,

Let the linear function be represented as A

Now , the value of A is

a)

The area of a circle as a function of the radius

So , the area of the circle A = πr² , where r is the radius of the circle

Now , the linear equations in one variable is an equation which is expressed in the form of ax + b = 0

So , the r² term in the area of circle does not make it a linear function

Hence , the non linear function is area of a circle as a function of the radius

To learn more about linear equations click :

brainly.com/question/10185505

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Nonlinear means not in a straight line if you graph it.

The answer would be C because the number of gallons of gasoline purchased varies.

What is a factor tree, and how do you know when a factor tree is completed?(5th grade math Please help me.)

Answers

A factor tree starts with one number, such as 8. You draw to lines, and at the end of each is a possible way to divide 8, such as 4 and 2, because 4*2=8. Then, you divide 4 by 2, which is the only possible way without getting a 1 or a 4. Then, since 2 cannot be divided by 2 or 1.That is a complete factor tree. You can tell if a factor tree is over if you end up with a prime number.
A factor tree is a tree to represent what are the factors of the number.
Ex: 20:1,2,4,5,10

1x20
2x10
4x5
5x4
10x2
All of this equals 20
*in a factor tree you have to include all the factors of a number