PLEASE HELP ME! I AM BEGGING YOU!

Brian has 40000 to invest in a mix of corporate and municipal bonds. The corporate bond pays 10% simple annual interest and the

jonny [76]

Answer:

Sum of money invested in corporate bonds = 30,000

Step-by-step explanation:

Total sum = 40,000

The rate of interest for corporate bonds = 10 % = 0.1

The rate of interest for municipal bonds = 6 % = 0.06

Total interest = 3600

Let sum of money invested in corporate bonds = x

The sum of money invested in municipal bonds = 40000 - x

$x$ × 0.1 × 1 + ( $40000 - x$ ) × 0.06 × 1 = 3600

(0.1- 0.06) $x$ + 2400 = 3600

0.04 $x$ = 1200

$x$ = 30,000

Since x = sum of money invested in corporate bonds

So sum of money invested in corporate bonds = 30000

4 0

3 years ago

12. For which of the following solids are all cross sections circular?

Sliva [168]

Answer:

2

Step-by-step explanation:

3 0

3 years ago

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$

Now we calculate the F statistic as:

$F=MSB/MSE=172/23.78=7.23$

The degrees of freedom of the numerator are:

$dfn=a-1=3-1=2$

The degrees of freedom of the denominator are:

$dfd=N-a=3*4-3=12-3=9$

The P-value of F=7.23, dfn=2 and dfd=9 is:

$P-value=P(F>7.23)=0.01342$

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0

3 years ago

Find an equation of line with given slope and y-intercept. Slope= -6 y-intercept= (0,-10) The equation of the line is: ?

GREYUIT [131]

Step-by-step explanation:

so, we find the slope-intercept form :

y = ax + b

"a" is the slope (it is always the factor of x), "b" is the y-intercept (the y-value when x = 0).

we have the slope : -6

and the given point (0, -10) gives us already the y-value when x = 0 : -10

therefore, the equation is

y = -6x - 10

4 0

1 year ago

Someone please help me with this.

svetlana [45]

Answer:

9

Step-by-step explanation:

m = j^2 -7p

18 = j^2 -7(9)

18 = j^2 - 63

81 = j^2

√81 = √j^2

9 = j

6 0

3 years ago

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