MATHEMATICS HIGH SCHOOL

David invested R1000, what would that money grow to in 18 months at 5.5% interest rate

Answers

Answer 1

Answer: 18 months = 1 and half year
= 1 $(1)/(2)$ year

I = PRT
P for Principle Amount
R for Rate
T for Time in years

I = 1000 × 0.055 × 1.5 (5.5% = $(5.5)/(100)$ = 0.055)
= R82.5

R1000 + R82.5 = R1082.5

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the sum of three consecutive integer is 88. identify the variable and write an equation the describes the situation.

Answers

Lets say that you take n as the integer. Now you'll add it with 3 numbers. n+(n+1)+(n+2)=88. Now add 'em up, the sum is 3n+3=88. Take the 3 to the other side and subtract it from 88 which is 85. Now it'll be n= 85/3

What is the product?(2x – 1)(x + 4)

2x2 – 4
2x2 + 4
2x2 + 7x – 4
2x2 – 7x – 4

Answers

the answer is the third one 2x^2+7x-4

Answer:

the answer is the c. 2x^2+7x-4

Step-by-step explanation:

Aiden walked 2 miles in 2/5 hour. Find the unit rate.

Answers

Answer:

1 mile- 2/10 hr

Step-by-step explanation:

2 miles- 2/5 hr

1 mile- 2/10 hr

(divide by 2)

hope this helped :)

D=150 ft r=20 ft per min. t=?

Answers

t=d/r
plug in your numbers and divide then you have your answer.

A quadrilateral has vertices (-5,0), (2,8), (4,-5) and (7,3). Which matrix is the coordinate matrix for the given quadrilateral?

Answers

Answer:

The matrix that is the coordinate matrix of the given quadrilateral is:

$A.\ \left[\begin{array}{cccc}-5&2&4&7\n0&8&-5&3\end{array}\right]$

Step-by-step explanation:

We know that the vertices of a quadrilateral are expressed in form of a matrix by placing the vertices along the column of a matrix.

i.e. the vertex A(-5,0) form the first column of a matrix and similarly the vertex B form the second column of the matrix ; C from the third column of the matrix and D form the third column of the matrix.

Hence, the answer is:

Matrix A

(-5, 2, 4, 7)
0 8 -5 3

The co-ordinates are just rewritten in form of a column vector. This gives a matrix of order 2x4

Simplify the expression fraction with numerator of the square root of negative one and denominator of the quantity three plus eight times i minus the quantity two plus five times i.fraction with numerator x-3 plus i and denominator 10
fraction with numerator negative 3 plus i and denominator 10
fraction with numerator 3 minus i and denominator 10
fraction with numerator negative 3 minus i and denominator 10

Answers

The simplified expression is: $\mathbf{(i+13)/(170)}$

The fraction is given as:

$\mathbf{(√(-1))/(3 +8i -2 + 5i)}$

Collect like terms

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (√(-1))/(3 -2+8i + 5i)}$

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (√(-1))/(1+13i)}$

In complex numbers, we have:

$\mathbf{i =√(-1)}$

So, we have:

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (i)/(1+13i)}$

Rationalize

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (i)/(1+13i) * (1-13i)/(1-13i)}$

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (i(1-13i))/(1^2-(13i)^2)}$

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (i-13(-1))/(1-169(-1))}$

$\mathbf{(√(-1))/(3 +8i -2 + 5i) = (i+13)/(170)}$

Hence, the simplified expression is: $\mathbf{(i+13)/(170)}$

Read more about expressions at:

brainly.com/question/403991

The right answer for the question that is being asked and shown above is that: "fraction with numerator negative 3 minus i and denominator 10." This is the simplified expression fraction with numerator of the square root of negative one and denominator of the quantity three plus eight times i minus the quantity two plus five times i.

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