$100 is borrowed at 9% interest per year. How much is owed after one year if interest is compounded :
a. annually?
b. monthly?
c. continuously?

Answer: Sure

Step-by-step explanation:

Step-by-step explanation:

✬ Radius = 2.5 cm ✬

Step-by-step explanation:

Given:

Radius of spherical ball is 3 cm.

Radii of new spherical balls are 1.5 cm and 2 cm.

To Find:

Radius of third spherical ball ?

Solution : Let the radius of third spherical ball be x cm.

If something is melted and recasted into another thing then their volumes will be equal. In short

Volume of 1st thing = Volume of second one.

➯ Let's see here

Volume of big spherical ball will be equal to the sum of volumes of that three small spherical balls.

As we know that

★ Volume of Sphere = 4/3πr³ ★

[ Taking big spherical ball ]

Radius = 3 cm

⟹ Volume = 4/3 × π × (3)³

⟹ 4π/3 × 27

Volume we got = 4π/3 × 27 cm³

[ Taking 3 small spherical balls ]

Radius of first ball (r¹) = 1.5 cm

For second (R) = 2 cm

For third (x) = x cm

Volume = 4/3 × π( sum cubes of radii)

⟹ Volume = 4/3 × π(1.5³ + 2³ + r³)

⟹ 4π/3 (3.375 + 8 + x³)

⟹ 4π/3 ( 11.375 + x³)

Volume we got = 4π/3 (11.375 + x³) cm³

A/q

First volume = Second volume

➮ 4π/3 × 27 = 4π/3 (11.375 + x³)

➮ 27 = 11.375 + x³

➮ 27 – 11.375 = x³

➮ 15.625 = x³

➮ 15625/1000 = x³

➮ 3125/200 = 625/40 = 125/8 = x³

➮ ³√125/8 = x³

➮ 5/2 = x²

➮ 2.5 cm = x

Hence, the measure of radius of third spherical ball is 2.5 cm.

Answer:

The answer is 1/3

Step-by-step explanation:

Answer:

i need points lol .

Step-by-step explanation:

i need points :(  i hope you find your answer i guess

Answer:

6

Step-by-step explanation:

5% of 120 is 6.

Well, if 5% of them are real, that means 95% of the calls they get each day are false alarms.  

If we set up our inequality and multiply (Which i'm assuming you know how to do) We would get 114. Therefore, 114 calls would be false alarms.

Answer:

The equation has only one solution which is:

Step-by-step explanation:

Given the equation

[tex]3x\:+\:6\:=\:-1\:-\:3\:+\:4x[/tex]

Let us solve the equation to determine the type of the equation

[tex]3x\:+\:6\:=\:-1\:-\:3\:+\:4x[/tex]

subtract the number: -1 - 3 = -4

[tex]3x+6=4x-4[/tex]

subtract 6 from both sides

[tex]3x+6-6=4x-4-6[/tex]

[tex]3x=4x-10[/tex]

subtract 4x from both sides

[tex]3x-4x=4x-10-4x[/tex]

[tex]-x=-10[/tex]

Divide both sides y -1

[tex]\frac{-x}{-1}=\frac{-10}{-1}[/tex]

[tex]x=10[/tex]

Therefore, the equation has only one solution which is:

Answer:

C one

Step-by-step explanation:

I toolk the test

Answer:c.

The list price, because it is derived from the price of a car.

Step-by-step explanation:

Tess is going to purchase a new car that has a list price of $29,190. She is planning on trading in her good-condition 2006 Dodge Dakota and financing the rest of the cost over four years, paying monthly. Her finance plan has an interest rate of 10.73%, compounded monthly. Tess will also be responsible for 7.14% sales tax, a $1,235 vehicle registration fee, and a $97 documentation fee. If the dealer gives Tess 75% of the listed trade-in price on her car, once the financing is paid off, what percent of the total amount paid will the interest be? (Consider the trade-in to be a reduction in the amount paid.)         ANSWER C

Answer: A. A down payment, because it reduces the amount financed.

Step-by-step explanation: I just took the quiz and got a 100%. Edge 2021

Answer:

25 I think not sure

Step-by-step explanation:

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:

Answer:

$300

Step-by-step explanation:

Answer:

$300

Step-by-step explanation:

250 100

 ?    120

(250x120)/100

Answer:

x = 3

Step-by-step explanation:

The formula for the axis of symmetry is x = -b/[2a].  Here, a = -3 and b = 18.

                                                            -18

Thus, the axis of symmetry is x = - ------------ = 3, or x = 3

                                                            2[-3]

Answer: A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).

Step-by-step explanation:

Let p = True proportion of people rent their residence.

Given: n= 500

People rent their residence = 260

[tex]p=\dfrac{260}{500}=0.52[/tex]

z-value for 95% confidence level = 1.96

A 95% confidence interval for the true proportion will be :

[tex]p\pm z^*\sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.52\pm (1.96)\sqrt{\dfrac{0.52(1-0.52)}{500}}\\\\=0.52\pm(1.96\sqrt{\dfrac{0.2496}{500}})\\\\=0.52\pm 1.96\sqrt{0.0004992}\\\\=0.52\pm (1.96)(0.02234)\\\\=0.52\pm0.0437864\\\\=(0.52-0.0437864,\ 0.52+0.0437864)\\\\=(0.4762136,\ 0.5637864)[/tex]

A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).

Answer:

25

Step-by-step explanation:

maybe this will help you

Answer:

C. 125 cm^3

Step-by-step explanation:

Hope this helps!! Brainliest please :)

Answer:

2nd one

Step-by-step explanation:

Answer:

1.25 laps per minute

Step-by-step explanation:

Answer: I'm pretty sure the correct answer is (B)  Let me know if i'm correct!

Step-by-step explanation:

Answer:

y = 75

z = 43.3

Step-by-step explanation:

To find the value of y we use the trigonometric identity Sine.

[tex]sin\ 30 = \frac{y}{150}\\\\y=150*sin30\\y= 75\\[/tex]

Now to find the value of z we can use the trigonometric identity Tangent.

[tex]tan\ 60=\frac{y}{z}\\\\z=\frac{y}{tan\ 60}[/tex]

We know the value of y is 75 so it becomes,

[tex]z=\frac{75}{1.732} \\\\z=43.3[/tex]

Answer:

y=-150 ' z = - 468

Step-by-step explanation:

Sin angle = opp/hyp

Cos 30 = y/150

y = 150 ×( cos30)

y= - 150

Tan angles = opp / adj

Tan 60 = - 150 / Z

Z = (-150) / tan 60

Z = (-150) / 0.32

Z= - 468

Answer:

400 riders

Step-by-step explanation:

The Ferris wheel had 400 riders.

400*0.60=240.

Answer:

Y = 144

Step-by-step explanation:

60 times  = 14400

14400 = y times 100

Answer:

6 inches

Step-by-step explanation:

Answer:

y=-x-1

Step-by-step explanation:

1.) equation of line in slope-intercept form: y=4-x

2.) parallel of line is same as: m=-1

3.) equation of parallel line is: y=-x+b

4.) finding b: 4=(−1)⋅(−5)+b

b=-1

5.) therefore, equation is y=-x-1

Answer:

you accept the alternative hypothesis

Step-by-step explanation:

The null and alternative hypothesis can be computed as follows:

[tex]H_o: p = 0.64 \\ \\ H_1: p \le 0.64[/tex]

The sample proportion [tex]\hat p = \dfrac{x}{n}[/tex]

[tex]\hat p = \dfrac{52}{100}[/tex]

[tex]\hat p = 0.52[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{\hat p -p_o}{ \sqrt{ \dfrac{p_o \times (1-p_o)}{ n} }}}[/tex]

[tex]Z = \dfrac{0.52 -0.64}{ \sqrt{ \dfrac{0.64 \times (1-0.64)}{ 100} }}}[/tex]

Z = -2.5

The P-value = 2( Z< -2.5)

From the tables;

The P-value = 2 (0.0062)

The P-value = 0.0124

The significance level = 0.01

Since the P-value is > significance level; we fail to reject the null hypothesis.

Conclusion: we accept the alternative hypothesis

Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to conclude that the percentage is less than 64%.

At the null hypothesis, it is tested if the proportion is of 64%, that is:

[tex]H_0: p = 0.64[/tex]

At the alternative hypothesis, it is tested if the proportion is less than 64%, that is:

[tex]H_1: p < 0.64[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are: [tex]n = 100, \overline{p} = \frac{52}{100} = 0.52, p = 0.64[/tex]

Hence:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.52 - 0.64}{\sqrt{\frac{0.64(0.36)}{100}}}[/tex]

[tex]z = -2.5[/tex]

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, using the z-distribution with a significance level of 0.01, is of [tex]z^{\ast} = -2.33[/tex]

Since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to conclude that the percentage is less than 64%.

For more on the use of the z-distribution for hypothesis tests, you can check https://brainly.com/question/25584945

Answer:

1/5

Explanation:

There are five choices in the spinner. One of the choices is labeled '5'. That means you will have one out of the 5 choices to get the choice labeled '5'.

Good day :)

Answer:

its the last one

because the rest of them are wrong

9514 1404 393

Answer:

  4.59 g

Step-by-step explanation:

The half-life is given as 5 years, so the amount remaining after 9 years will be ...

  remaining = initial × (1/2)^(t/(half-life))

  remaining = (16 g)×(1/2)^(9/5) ≈ 4.59 g

About 4.59 g of the substance will remain after 9 years.

Answer:

Inequality form: 2 [tex]\leq[/tex] x [tex]\leq[/tex] 8

Interval Notation: [2,8]

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

x = 2 >>> (Multiply by 10) >>> y = 20

x = ? >>> (Multiply by 10) >>> y = 50

50 ÷ 10 = 5

x = 5 when y is 50

Answer: 0.2

Step-by-step explanation: