The mathematical expression 2 e V means.

tyrone opens an account at the local bank by depositing $50 of his birthday money. He continues to deposit $50 each month for 5

Pavel [41]

<u>Answer-</u>

<em>The amount will be </em><em>$8944.62</em><em> after 5 years.</em>

<u>Solution-</u>

We know that,

$\text{FV of annuity}=P[\dfrac{(1+r)^n-1}{r}]$

Where,

P = Payment = $50 monthly

r = rate of interest compounded monthly= $3\frac{1}{4}=3.25\%=0.0325$

n = number of period = 5 years = 5×12 = 60 months

Putting the values in the formula,

$\text{FV of annuity}=50[\dfrac{(1+0.0325)^{60}-1}{0.0325}]$

$=50[\dfrac{(1.0325)^{60}-1}{0.0325}]$

$=50[\dfrac{6.8140-1}{0.0325}]$

$=50[\dfrac{5.8140}{0.0325}]$

$=50\times 178.8923$

$=8944.62$

Therefore, the amount will be $8944.62 after 5 years.

5 0

3 years ago

HELP it's Geometry HW I WILL GIVE BRAIN LIST AND 5 STARS

Margaret [11]

Number one: if line segments SR & RT are perpendicular line segment Tu and US are perpendicular and angle STR is congruent to angle TSU, then triangle TRS is congruent to triangle SUT
Number two: if line segment AC is congruent to line segment CB and line segment CB bisects line segment AB, then < a is congruent to < B

3 0

3 years ago

Need help (problem and directions in the image):

Alex

Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem. The sink hole is 52.2 ft and the Perimeter of ABC is 172.2 ft

<h3>What are congruent triangles?</h3>

Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.

In the image shown:

AC = CE, BC = ED and they have the same angle (opposite angles are congruent).

Hence:

Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem.

AB = DE = 52.2 ft

Perimeter of ABC = AB + BC + AC = 50 + 70 + 52.2 = 172.2 ft

Find out more on congruent triangles at: brainly.com/question/2938476

#SPJ1

6 0

2 years ago

Andrew uses 630 one-inch unit cubes to completely fill the inside of a rectangular box. Which could be the dimensions of the box

dsp73

we have 630 one-inch unit cubes and we want to completely fill the rectangular box (unknown dimensions).

If all the cubes are fitted tightly inside rectangular box without living any space, then box volume would be equal to cubes volume.

There are 630 one-inch unit cubes, so volume of cubes = 630 cubic inches.

Now the volume of rectangular box would also be 630 cubic inches.

We know the formula for volume of rectangular box = length × width × height.

So we need to find any three positive integers whose product is 630.

Out of all given choices, only option A satisfies the condition of factors of 630.

Hence, option A i.e. (7 in x 9 in x 10 in) is the final answer.

7 0

3 years ago

A spinner is divided into two equal parts, one red and one blue. The set of possible outcomes when the spinner is spun twice is

Hunter-Best [27]

A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

We know about the probability, therefore, let's find the probability of each of the cases.

When the number of success of the spinner landing on blue is none, therefore, the spinner does not land on the blue color at all.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Now, as it is given that there is only one case when the spinner does not land on the blue side(RR) in the set, S = {RR, RB, BR, BB}. therefore,

$\rm{Probability(X=0)=\dfrac{1}{4} = 0.25$

When the number of success of the spinner landing on blue is just once, therefore, the spinner does land on the blue color only once out of the two spin.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Now, as it is given that there are two cases when the spinner does land on the blue side(RB, BR) in the set, S = {RR, RB, BR, BB}. therefore,

$\rm{Probability(X=1)=\dfrac{2}{4} = 0.25$

When the number of success of the spinner landing on blue is twice, therefore, the spinner does land on the blue color both the times the spinner is spun.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Now, as it is given that there is only one case when the spinner does land on the blue side twice(BB) in the set, S = {RR, RB, BR, BB}. therefore,

$\rm{Probability=\dfrac{1}{4} = 0.25$

Now, if we draw the table of the data and the probability we will get the following table,

x P(X)

0 0.25

1 0.50

2 0.25

Hence, the table that is correct is table A, which is A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

Learn more about Probability:

brainly.com/question/795909

8 0

2 years ago