A frame is made from wire. The frame is a trapezium Calculate the total amount of wire needed to make the frame.

Kathy has $50,000 to invest today and would like to determine whether it is realistic for her to achieve her goal of buying a ho

olga_2 [115]

Answer:

a) About 12%

Step-by-step explanation:

We need to find the interest rate required to achieve her goal, so we will need to use the interest-compound formula:

$FV=PV(1+i)^{n}$

Where:

PV= Present Value

i= interest rate

FV= Future Value

n= number of periods

replacing the data provided:

$150.000=50.000(1+i)^{10}$

solving for i:

first, divide both sides by 50.000 to simplify the equation:

$3=(1+i)^{10}$

Take $10^{th}$ roots of both sides:

$1+i=$ ± $\sqrt[10]{3}$

solve for i:

$i=$ ± $\sqrt[10]{3} -1$

We get two answers, but we look for a coherent value. So we take the positive one:

$i=11.6123174$ ≈12

6 0

2 years ago

-6y + 3(12y) = 20(y - 1) + 15 is it true?

xxMikexx [17]

Answer:

y= - 1/2 (negative half) = -0.5

Step-by-step explanation:

−6y+3(12y)=20(y−1)+15

Multiply 3 and 12 to get 36.

−6y+36y=20(y−1)+15

Combine −6y and 36y to get 30y.

30y=20(y−1)+15

Use the distributive property to multiply 20 by y−1.

30y=20y−20+15

Add −20 and 15 to get −5.

30y=20y−5

Subtract 20y from both sides.

30y−20y=−5

Combine 30y and −20y to get 10y.

10y=−5

Divide both sides by 10

y= -5/10

Reduce the fraction -5/10 = -0.5 to lowest terms by extracting and cancelling out 5 .

5 0

1 year ago

It is known that driving can be difficult in regions where winter conditions involve snow-covered roads. For cars equipped with

noname [10]

Answer:

The null and alternative hypothesis for this test are

$H_0: \mu\ge 215\\\\H_1: \mu< 215$

Step-by-step explanation:

If we perform a hypothesis test, we can reject or not reject the null hypothesis.

To conclude that the tires have a decreased stopping distance (μ<215), we should state the null hypothesis $H_0: \mu\ge 215$ and then go on with the analysis to reject it (or not).

If the null hypothesis is rejected, the claim of the manufacturer is rigth.

The alternative hypothesis would be $H_1: \mu$ , that would turn rigth if the null hypothesis is rejected.

5 0

2 years ago

NOT is coded as LKF and FLY is coded as TNA, then which of the following word/s has/have correct coding? (1) TOP – FKJ (2) RUN –

AVprozaik [17]

Answer:

(1) and (3) are correct options

Step-by-step explanation:

NOT is coded as LKF
FLY is coded as TNA

<u>Using alphabet, we can see that:</u>

NOT = 14, 15, 20 ⇔ 13+1, 13+2, 13+7 ⇒ LKF = 12,11,6 = 13-1, 13-2, 13-7

Coding for each letter is 13 + x ⇒ 13 - x

(1) TOP ⇒ FKJ

TOP = 20,15,16 ⇒ 13-7, 13-2, 13-3 = 6,11,10 = FKJ
Correct

(2) RUN ⇒ IFM

RUN = 18,21,14 ⇒ 13-5,13-8,13-1 = 8,5,12 = HEL ≠ IFM
Incorrect

(3) MUG ⇒ MES

MUG = 13,21,7 ⇒ 13+0, 13-8, 13+6 = 13,5,19 = MES
Correct

(4) HOT ⇒ RKG

HOT = 8,15,20 ⇒ 13+5,13-2, 13-7 = 18,11,6 = RKF ≠ RKG
Incorrect

7 0

1 year ago

Nancy is studying constellations in science class. Two things are strongly supported by all random samples of the number of star

Alona [7]

The first one

2,6,8,3,7,9,4,9,8,7,3,2,8,11,3

7 0

2 years ago

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