I need help I need help

Answer:

12195508,42

Step-by-step explanation:

An account has $102,393.44 after 80 years of 5.8% compounded monthly interest. The initial deposit was around $991.45.

Therefore,

Assume that each year has 52 weeks: then compounding occurs.

n = 52 × 80n

times and the rate for each compounding is

[tex]$i=\frac{5.8 \%}{52}=\frac{0.058}{52}$[/tex]

If the original deposit amount is

PV

then the future value

FV

is equal to

[tex]$$F V=P V \cdot(1+i)^n=P V \cdot\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}$$[/tex]

We know the future value (which is given as $ 102,393.44), so calculating the present value is simple:

[tex]P V=F \frac{V}{(1+i)^n}=\frac{\$ 102,393.44}{\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}}[/tex]

The simplest way to compute this is to use a calculator:

[tex]$P V \approx \$ 991.45 .$$[/tex]

We can simplify this expression with great precision just for fun. It is well known that

[tex]$\left(1+\frac{1}{n}\right)^n \rightarrow e$[/tex]

which easily implies that

[tex]$\left(1+\frac{a}{n}\right)^n \rightarrow e^a$[/tex]

Here,

[tex]$$\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}=\left(\left(1+\frac{0.058}{52}\right)^{52}\right)^{80} \approx\left(e^{0.058}\right)^{80}=e^{0.058 .80}=e^{4.64}[/tex]

That is, [tex]P V \approx F V e^{-4.64}$.[/tex]

Hence, An account has $102,393.44 after 80 years of 5.8% compounded monthly interest. The initial deposit was around $991.45.

To learn more about deposit, refer to:

https://brainly.com/question/25787382

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[tex]\text{Given that,}~x^2 +y^2 = 125 ~ \text{and}~ xy =22\\\\(x+y)^2 = x^2 +y^2 +2xy = 125 +2(22) = 169[/tex]

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[ by using formula ]

I hope it helps ~

Answer:0.07% because 710-654 is 56 and 56 divided by 710 is 0.07

Answer:

Step-by-step explanation:

Find the difference between the actual and estimate, this is the error:

Find the percent error, which is the error over the actual:

Answer: 245 miles

Step-by-step explanation:

(70)(3.5)= 245

Answer:

1 3/8   D

Step-by-step explanation:

The first and most obvious part of the answer is that the paper clip is at least 1 inch long. The question is how much longer?

It is between 1/4 of an inch and 1/2 of an inch. In fact it is exactly half way between them.

So that resembles an average.

(1/4 + 1/2)/2 = (1/4 + 2/4) / 2 = (3/4)/2

[tex]\frac{\frac{3}{4} }{2} = \frac{\frac{3}{4} }{\frac{2}{1} }[/tex]

Now the trick is to invert the denominator (make it 1/2) and multiply

3/4 * 1/2 = 3/8

Recall the binomial theorem:

[tex]\displaystyle (a + b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]

where [tex]\binom nk = \frac{n!}{k!(n-k)!}[/tex] is the binomial coefficient.

Take a = x/3, b = -3, and n = 7. Then we get the x⁵ and x⁴ terms when 7 - k = 5 and 7 - k = 4, respectively; or when k = 2 and k = 3.

[tex]k=2 \implies \dbinom 72 \left(\dfrac x3\right)^{7-2} (-3)^2 = 21 \cdot \dfrac{x^5}{243} \cdot 9 = \dfrac79 x^5[/tex]

[tex]k=3 \implies \dbinom 73 \left(\dfrac x3\right)^{7-3} (-3)^3 = 35 \cdot \dfrac{x^4}{81} \cdot (-27) = -\dfrac{35}3 x^4[/tex]

Then when multiplying this expansion by x - 6, we get an x⁵ terms from the products

[tex]\dfrac79 x^5 \cdot (-6)[/tex]

and

[tex]-\dfrac{35}3 x^4 \cdot x[/tex]

so that the x⁵ term in the overall expansion of (x/3 - 3)⁷ (x -  6) has a coefficient of

[tex]\dfrac79\cdot(-6) + \left(-\dfrac{35}3\right) \cdot 1 = \boxed{-\dfrac{49}3}[/tex]

Answer:

1031.70833333

Step-by-step explanation:

Answer:

I believe 1000

Step-by-step explanation:

Answer:

A  yes     B No    C  Yes

Step-by-step explanation:

The length of the third side is greater than the difference and less than the sum of the two smallest sides.

8, 5, 7    Using the 5 and 7  the third side is > (7 - 5) and < (5 + 7)

                                              the third side is  > 2  and < 12 so 8 is OK

10, 3, 7   Use the two smallest number: 3 and 7

                                               the third side is  > (7 - 3) and < (3 + 7)    

                                               the third side is > 4 and < 10   No it is 10

9, 5, 15    Use the two smallest number 9, 5

                                               the third side is > (9 - 5) and < (9 + 5)  

                                               the third side is > 4 and < 14       Yes  

Answer:

A. 8, 5 , 7

Step-by-step explanation:
the other guy who answered  gave two yes's so I chose one and A. was correct.

Answer:

v=[tex]\frac{(w+v)/t}{2}[/tex]

Step-by-step explanation:

just inverse operations and you will always get your answer :)

Answer:

x = -3

Step-by-step explanation:

2/3x + 4 = 2

2/3x = 2 - 4

2/3x = -2

2x = -2 * 3

2x = -6

x = -6/2

x = -3

Answer:

the second and the fourth have a range of real no

Answer:

2(x + 3) <9

Step-by-step explanation:

Two times the quantity of a number increased by 3 is less than 9

       2  ·                                          (x + 3   )                           < 9    

     = 2(x + 3) <9

Answer:

Either one: the two line have a point in common, or infinite: they are the same line.

Answer:

32+[tex]\sqrt{200}[/tex]

Step-by-step explanation:

First - one side is 10m and other one is 16, so adding this 26m

Second-hypotenuse is sqrt of 10*10+10*10.

Third-  Remainder is 16-10 because  that is isosceles triangular.

Answer:

answer below

Step-by-step explanation:

9(y = 1/9x + 5)

9y = x + 45

-x + 9y = 45

x - 9y = -45

Answer:

The mode is 31

good luck naka

Answer:

4

Step-by-step explanation:

4 sets of strings will cost:

4×5=20

He will have $2 left over. Not enough to buy another set.

Or 5x<=22 DIVIDE BOTH SIDES BY 5

x <= 4.4 since he cannot buy .4 sets (this is a fraction of a set) He can only buy 4 sets

Answer:45

Step-by-step explanation: math solver

Answer:

the answer is not there. the answer is -34

Step-by-step explanation:

11-5(9) .        11-45

Using the normal distribution and the central limit theorem, it is found that there is a 0.0571 = 5.71% probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month is the p-value of Z when X = 275, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{275 - 250}{\frac{100}{\sqrt{40}}}[/tex]

[tex]Z = 1.58[/tex]

[tex]Z = 1.58[/tex] has a p-value of 0.9429.

1 - 0.9429 = 0.0571

0.0571 = 5.71% probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month.

You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213

Answer:

x = -3

Step-by-step explanation:

The two angles shown are corresponding angles, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.

2x + 9 = 7x + 24

Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.

2x - 7x + 9 = 7x - 7x + 24

-5x + 9 = 24

Then, we'll remove 9 from both sides.

-5x + 9 - 9 = 24 - 9

-5x = 15

Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.

-5x/-5 = 15/-5

x = -3

And there it is... the value of x. Hopefully that's helpful! :)

Answer:

savind and investing money

Answer:

(2,5) -- that is, x is 2, and y is 5, so it would be choice A.

Step-by-step explanation:

5(2x+1)-7x=11

10x+5-7x=11

3x=6

x=2

y=2(2)+1=5

Answer: 0

Step-by-step explanation: when you add 25+25 it is equal to 50. when you subtract 100 from 50 it gives you -50. when you add 25+25= 50 so you add that -50 and 50 and it gives you zero (im not very good at explaining hope it helped)

Answer:

1164.25

Step-by-step explanation:

Answer:

Wind speed = 40 km/hr

Speed of the plane in still air = 280km/hr

Step-by-step explanation:

Formula to use

Distance = Rate multiplied by Time

D = R × T

Speed of the plane in still air = a

Speed of the wind = b

Plane with the wind (tailwind) is a + b where the time = 3hours

Plane against the wind is a - b, where the time = 4hours

This would give us 2 equations

3 × (a+ b) = 960

3a + 3b = 960 ...... Equation 1

4 × (a- b) = 960

4a - 4b = 960 ........ Equation 2

Solve this like you would with system of equations:

We solve the equation using elimination method.

Mulitply equation 1 by 4 and equation 2 by -3

4 × (3a + 3b = 960)

12a + 12b = 3840 ..... Equation 4

-3 × (4a- 4b = 960)

-12a + 12b= -2880 ........ Equation 5

Therefore we have

12a + 12b = 3840 ..... Equation 4

-12a + 12b= -2880 ........ Equation 5

24b = 960

b = 960÷ 24

b = 40

Wind Speed = 40km/hr

To find the speed of air, we use equation 2

4a - 4b = 960 ........ Equation 2

Substituting 40 which is wind of speed for b in equation 2 we would have

4a - 4(40) = 960

4a - 160 = 960

4a = 960 + 160

4a = 1120

a = 1120 ÷ 4

a = 280

The speed of the small plane in still air is 280 km/hr