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3 years ago

Find the simple interest earned after 12 years on $1,350 at an interest rate of 8%.

Mathematics

1 answer:

aniked [119]3 years ago

5 0

Answer:

1296$

Step-by-step explanation:

0.08*1350 = 108

108* 12= 1296

Thats the simplest way I can tell you

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In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the d

nikdorinn [45]

Answer:

R = 7,34 km

Ф = 63,43° north of east

Step-by-step explanation:

Let´s analyze each movement and find its perpendicular components. Then, we are going to add the components along the x and y axes to get the resultant and finally to calculate its magnitude and direction.

To determine the perpendicular components, we will use right triangles trigonometrics ratios.

Please see images for each displacement in attached file.

Displacement A: 2.50 km and 45° north of west

Ax= AcosФ = 2.50cos45° = 1.77 km (neg. direction)

Ay= AsenФ = 2.50sen45° = 1.77 km (pos. direction)

Displacement B: 4.70 km and 60° south of east

Bx= BcosФ = 4.70cos60° = 2,35 km (pos. direction)

By= BsenФ = 4.70sen60° = 4,07 km (neg. direction)

Displacement C: 1.30 km and 25° south of west

Cx= CcosФ = 1.30cos25° = 1,18 km (neg. direction)

Cy= CsenФ = 1.30sen25° = 0.55 km (neg. direction)

Displacement D: 5.10 km due east (0°)

Dx= DcosФ = 5.10 km (pos. direction)

Dy= DsenФ = 0 km

Displacement E: 1.70 km and 5° east of north

Ex= EsenФ = 1.70sen5° = 0,15 km (pos. direction)

Ey= EcosФ = 1.70cos5° = 1.69 km (pos. direction)

Displacement F: 7.20 km and 55° south of west

Fx= FcosФ = 7.20cos55° = 4.13 km (neg. direction)

Fy= FsenФ = 7.20sen55° = 5.90 km (neg. direction)

Displacement G: 2.80 km and 10° north of east

Gx= GcosФ = 2.80cos10° = 2.76 km (pos. direction)

Gy= GsenФ = 2.80sen10° = 0.49 km (pos. direction)

Now, we add the components along the x- and y- axis to find the components of the resultant (R):

Rx = Ax + Bx + Cx + Dx + Ex + Fx + Gx

Ry = Ay + By + Cy + Dy + Ey + Fy + Gy

Therefore,

Rx= (-1.77)+(2.35)+(-1.18)+(5.10)+(0.15)+(-4.13)+(2.76)

Ry= (1.77)+(-4.07)+(-0.55)+(0)+(1.69)+(-5.90)+(0.49)

Note: minus (-) symbol to negative directions

Rx = 3.28 km

Ry = - 6.57 km

Let´s use the Theorem of Pythagoras to find the magnitud ot the resultant:

$R = \sqrt{Rx^{2} +Ry^{2} }$

$R =\sqrt{(3.28)^{2}+(-6.57)^{2} }$

R = 7,34 km

To find the direction of the resultant:

tanФ = $\frac{Ry}{Rx}$

tanФ = $\frac{6.57}{3.28}$

tanФ = 2.00

Ф = tan-1 (2.00)

Ф = 63,43° north of east

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3 0

4 years ago

{30 POINTS} For a promotion, a store offers to pay the sales taxes on any item

Luden [163]

--Answer--

1. $85

2. $15

--Explanation--

1. 15% off of 100 just means moving the decimal in 15 over by 2 to the left.

From there, multiply 100 x 0.15.

Then you get 15, so that's how much tax you are paying. Meaning Subtract 15 from 100 to get the price it originally was before tax. 100 - 15 = 85.

2. $15 dollars tax from moving decimal 2 to the left of 15%.

5 0

3 years ago

Polydactyly is a fairly common congenital abnormality in which a baby is born with one or more extra fingers or toes. It is repo

GenaCL600 [577]

Answer:

There is a 81.86% probability that the obstetrician has delivered no child with polydactyly.

Step-by-step explanation:

There are only two possible outcomes: Either the baby has the anormality, or he hasn't. So we use the binomial probability distribution.

Binomial probability

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem, we have that:

It is reported in about one child in every 500, so $\pi = \frac{1}{500} = 0.002$ .

A young obstetrician celebrates her first 100 deliveries, so $n = 100$

What is the probability that the obstetrician has delivered no child with polydactyly?

That is P(X = 0)

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{100,0}.(0.002)^{0}.(0.998)^{100} = 0.8186$

There is a 81.86% probability that the obstetrician has delivered no child with polydactyly.

6 0

3 years ago

382.993 is the nearest hundredth

julsineya [31]

382.99 is rounded to the nearest hundredth

8 0

3 years ago

Read 2 more answers

Matching: Connect the correct statement with the corresponding picture. There are multiple correct statements per picture.

Gemiola [76]

Answer:

Figure 1: A , D

Figure 2: B, E

Figure 3: C, F

Hope that helps!

3 0

3 years ago