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3 years ago

Help me I don’t get this

Mathematics

1 answer:

andre [41]3 years ago

4 0

Step-by-step explanation:

Area = 8 × 5

Area = 40^2

Perimeter is the length around the edges

Therefore it is 8+8+5×5 (since there are 4 edges)

Perimeter = 2×8 + 2×5

= 40 + 10

= 50cm

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Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. 1 choice: P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

2 choice: P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

3 years ago

Read 2 more answers

What is the value of the expression below? 3/8+(-4/5)+(-3/8)+5/4

Crazy boy [7]

It will help you!

=-17/40+-3/8+5/4

= -4/5+5/4

= 9/20

And the answer is 9/20 or decimals (0.45)

4 0

3 years ago

Read 2 more answers

Evaluate the expression \{10 x 7\}+(10 - 6){10×7}+(10−6)left brace, 10, times, 7, right brace, plus, left parenthesis, 10, minus

aliya0001 [1]

What grade is this? I can get the answer of it but I forgot how

3 0

3 years ago

Read 2 more answers

3. [6x - 2y=2. (2 + 6x=y

Hunter-Best [27]

Answer:

3. [6x - 2y=2.

(2 + 6x=y

Step-by-step explanation:

4 0

3 years ago

you take a group of 20 people going to the movies. kids’ tickets cost $4 each, and adults tickets $6 each. your total cost is $9

brilliants [131]

The number of kids in your group is 12.

Step-by-step explanation:

Given,

Number of people = 20

Cost of each kid ticket = $4

Cost of each adult ticket = $6

Total spent = $96

Let,

x be the number of kids ticket

y be the number of adult ticket

According to given statement;

x+y=20 Eqn 1

4x+6y=96 Eqn 2

Multiplying Eqn 1 by 4

$4(x+y=20)\\4x+4y=80\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(4x+6y)-(4x+4y)=96-80\\4x+6y-4x-4y=16\\2y=16$

Dividing both sides by 2

$\frac{2y}{2}=\frac{16}{2}\\y=8$

Putting y=8 in Eqn 1

$x+8=20\\x=20-8\\x=12$

The number of kids in your group is 12.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago