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4 years ago

The present value of R8052.55 received in 5 years at 9% interest is

Mathematics

1 answer:

mel-nik [20]4 years ago

8 0

Answer:

<h2>The present value of a bond is calculated by discounting the bond's future cash payments by the current market interest rate. In other words, the present value of a bond is the total of: The present value of the semiannual interest payments, PLUS. The present value of the principal payment on the date the bond matures.Calculate the present value investment for a future value lump sum return, based on a constant interest rate per period and compounding. This is a special instance of a present value calculation where payments = 0. The present value is the total amount that a future amount of money is worth right now.</h2>

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Which expression represents the area of the rectangle <br>(2x+7)(4x+5)?

zhenek [66]

So we'll do FOIL (first, outer, inner, last)

The equation is (4x+5)(2x+7)

First, 4x·2x=8x²

Outer, 4x·7=28x

Inner, 5·2x=10x

Last, 5·7=35

Add like terms and you get:

8x²+38x+35

3 0

3 years ago

Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor's. A sample of 40 bab

Readme [11.4K]

Answer:

Mean weight gained of two goods is not significantly different under 0.05 or 0.01 significance level, but it is under 0.10 significance level.

Step-by-step explanation:

We need to calculate the z-statistic of the differences of sample means and compare if it is significant under a significance level.

Z-score can be calculated using the formula:

z= $\frac{X-Y}{\sqrt{\frac{s(x)}{N(x)}+\frac{s(y)}{N(y)}}}$ where

X is the mean weight gain for in the first three months after birth for babies using the Gibbs products.
Y is the mean weight gain for in the first three months after birth for babies using the competitor products
s(x) is the population standard deviation of the sample for Gibbs brand
s(y) is the population standard deviation of the sample for competitor brand
N(x) is the sample size for babies used Gibbs product
N(y) is the sample size for babies used competitor product.

putting the numbers in the formula:

z= $\frac{7.6-8.1}{\sqrt{\frac{2.3}{40}+\frac{2.9}{55}}}$ ≈ -1.51

and z-table gives that P(z<-1.51) = 0.0655

To conclude if the competitor good is significantly better, we need to choose a significance level and compare it to 0.0655.

For example, the difference in mean weight gained of two goods is not significant under 0.05 or 0.01 significance since 0.0655 is bigger than these values. But we can conclude that under 0.10 significance, competitor brand mean weight gain is significantly more than the Gibbs brand mean weight gain.

5 0

4 years ago

Find the area of the trapezoid by decomposing it into other shapes.

dimulka [17.4K]

Answer:

In the question the person was asking

Step-by-step explanation:

It says area= 80.5. Try it and I promise you all it will be right.

5 0

3 years ago

A 12 foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the

ira [324]

Using Pythagoras theorem, the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.

Let distance from the wall to the foot of the ladder is 'x' feet and the height of the top of the ladder is 'y' feet.

Pythagoras theorem, $x^{2} + y^{2} = (12)^{2}$ --->(1)

Given, $\frac{dx}{dt}= 2feet/second$ at x=3

Put x=3 in Pythagoras theorem equation (1)

$(3)^{2} + y^{2} = 144$

$y^{2} = 144 - 9$

$y^{2}$ = 135

y = 11.61

Derive equation (1) w.r.t to 't'

$2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 0$ ---->(2)

substitute the value of 'x', 'dx/dt' and 'y' in equation (2), we get the fast of the top of the ladder moving down when the foot of the ladder is 3 feet from the wall

$2(3)(2) + 2 (11.61)\frac{dy}{dt} = 0$

12 + 23.22 $\frac{dy}{dt}$ = 0

$\frac{dy}{dt}= \frac{-12}{23.22}$

$\frac{dy}{dt} = -0.518$

Hence, using Pythagoras theorem the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.

Learn more about Pythagoras theorem here

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5 0

2 years ago

Functions f(x) and g(x) are shown below. f(x) = x2. . g(x) = x2 - 8x + 16. In which direction and by how many units should f(x)

Aliun [14]

The original function is given by:
$f (x) = x ^ 2
$
We apply the following transformation:
Horizontal displacements:
Suppose k> 0
To move the graph k units to the right, we must graph f (x-k)
Applying the transformation for k = 4 we have:
$g (x) = f (x-4)

g (x) = (x-4) ^ 2

g (x) = x ^ 2 - 8x + 16$
Answer:
B. Right by 4 units

3 0

3 years ago

Read 2 more answers