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3 years ago

Find the least common multiple for 45, 2

Mathematics

1 answer:

tresset_1 [31]3 years ago

6 0

Answer:

Step-by-step explanation:

The LCM is 90 because once you fill out the pattern which would be 45x1 45x2 45x3 and so on and 2x1 2x2 2x3 and so on you will eventually meet at 90.

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Find the annual rate of interest. Principal = 4600 rupees, Period = 5 years, Total amount = 6440 rupees, Annual rate of interest

Len [333]

The annual rate of interest per year is 8%

<u>Solution:</u>

Given:- Principal (p) = 4600 rupees, Time –Period (t) = 5 years, Total amount(A) = 6440 rupees

First we will calculate the Interest and then using formula of simple interest we will calculate the rate of interest

Interest = Amount – Principal

Interest = 6440 – 4600 = 1840

Now using the formula of simple Interest and on putting values we get,

$\text {Simple Interest }=\frac{P \times R \times T}{100}$

Where "P" is the principal and "R" is the rate of interest per annum and "T" is the time period

$1840=\frac{4600 \times R \times 5}{100}$

$\begin{aligned} \mathrm{R} &=\frac{1840 \times 100}{4600 \times 5} \\\\ \mathrm{R} &=\frac{1840}{230} \\\\ \mathrm{R} &=8 \% \end{aligned}$

Hence, the required rate of interest per year is 8%

6 0

3 years ago

PLEASE HELP!! brainliest and 40 points for the CORRECT answer

Rasek [7]

Choice C is correct

3 0

3 years ago

Simplify the expression: 4a - 3(4 - a)

Lorico [155]

Answer:

Step-by-step explanation:

$4a-3\left(4-a\right)\\\\\mathrm{Expand}\:-3\left(4-a\right):\quad -12+3a\\\\=4a-12+3a\\\\\mathrm{Simplify}\:4a-12+3a:\quad 7a-12\\\\\mathrm{Simplify}\:4a-12+3a:\quad 7a-12\\\\=7a-12$

6 0

3 years ago

Please NO LINKS <br> ONLY CORRECT ANS

forsale [732]

Answer:

Step-by-step explanation:

just cross multiply

5 0

3 years ago

Read 2 more answers

Find the surface area of<br> the prism.

Anton [14]

Answer:

$\text{D. }464\:\mathrm{ft^2}$

Step-by-step explanation:

The surface area of the prism consists of four rectangles and two trapezoids. The sum of the areas of these polygons will give the total surface area of the prism:

Rectangle 1 (top base): $12\cdot 14=168$

Rectangle 2 (bottom base): $6\cdot 14 = 84$

Trapezoids 1 and 2 (lateral): $2\cdot 9 \cdot 4=72$

Rectangles 3 and 4 (lateral): $2\cdot 14\cdot 5=140$

Thus the total surface area is equal to

$168+84+72+140=\boxed{\text{D. }464\:\mathrm{ft^2}}$

6 0

3 years ago