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3 years ago

Find the future value of $3000 invested at 6% p.a interest compounded half-yearly for 4 years

Mathematics

1 answer:

alekssr [168]3 years ago

6 0

Answer:

F=$3810

Step-by-step explanation:

$F=P(1+i)^{n}$

F= future value

P= present value

i = interest

n= number of times money compounded

P=$3000 i=6% n = 2 X 4= 8

As this is semiannual so 6%/2=3%

$F=P(1+0.03)^{8}$

$F=3000(1.03)^{8}$

$F=3000(1.267)$

$F=3810$

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Find the unknown measures. Round lengths to the nearest tenth and angle measures to the nearest degree.

ioda

Answer:

AC= 6.3 units (nearest tenth)

BC= 2.8 units (nearest tenth)

∠C= 64°

Step-by-step explanation:

Please see attached picture for full solution.

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3 years ago

A student takes ten exams during a semester and receives the following grades: 90, 85, 97, 76, 89, 58, 82, 102, 70, and 67. Find

den301095 [7]

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3 years ago

Read 2 more answers

A spinner is divided into 8 section of equal size. The sections are numbered 1 through 8. Use this information to determine the

olga_2 [115]

1) 1/8

2) 1/2

Step-by-step explanation:

First of all, we notice that the spinner is divided into 8 sections of equal size.

So the number of sections is

n = 8

Secondly, we note that each section has the same size: this means that the probability of the spinner landing on each section is the same.

The probabilty of a certain event A to occur is given by

$p(A)=\frac{a}{n}$

where

a is the number of successfull outcomes (in which A occurs)

n is the total number of possible outcomes

Here we want to find

$p(7)$ = probability that the spinner lands on section 7

Here we have:

$a=1$ (only 1 outcome is successfull: the one in which the spinner lands on section 7)

$n=8$

Therefore, the probability is

$p(7)=\frac{1}{8}$

Here we want to find the probability that the spinner lands on an even numbered section.

As before, the total number of possible outcomes his:

$n=8$

which corresponds to: 1, 2, 3, 4, 5, 6, 7, 8

The even-numbered sections are:

2, 4, 6, 8

So, the number of successfull outcomes is

$a=4$

Because there are only 4 even-numbered sections.

Therefore, the probability that the spinner lands on an even numbered section is:

$p(e)=\frac{a}{n}=\frac{4}{8}=\frac{1}{2}$

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3 years ago

F(x)=3/x+2-√x-3 f(19)=

77julia77 [94]

Answer:

- 27/7

Step-by-step explanation:

Given

f(x)=3/(x+2) - √(x-3)

To find

f(19)

Solution

f(19) = 3/(19 + 2) - √(19 - 3) = 3/21 - √16 = 1/7 - 4 = - 27/7

3 0

2 years ago

Need help asap !

frutty [35]

The triangle to solve for has a leg or 12 feet, hypotenuse of 20 feet, so solve for Pythagoras $a^{2} + b^{2} = c^{2}$ for a

$a = \sqrt{c^{2} -b^{2}}$

a = 16 feet

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3 years ago