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SVEN [57.7K]
3 years ago
12

Emma decides to invest $990,000 in a period annuity that earns a 2.2% APR,

Mathematics
2 answers:
iris [78.8K]3 years ago
8 0
The correct answer is D. 3759.04



Explain

The formula is

PMT= amount {APR/n/(1+APR/n)^ny-1

APR is rate per year

N - is number of month

Y- number of year

Now let me begin ...

amount = 990,000
APR= 2.2%
N=12
Y= 20 yrs


Now let’s put all this in the formula and simplify


Pmt = 990000{2.2/12/(1+2.2/12)^12x20-1

Now simply


Pmt= 990000{0.18333/(1+0.18333)^240 -1

990000{0.18333/(1.18333)^240 -1}


1.00183333^240 -1= 0.55208

Pmt = 990000x 0.00183333/0.55208

1814.9967/0.55208

= 3759.04







Sorry for taking long , I have to check my work twice before sending , so I can give you correct answer


I hope this help you :D









Pani-rosa [81]3 years ago
4 0

Answer: B) 6462.32

Step-by-step explanation:

Compound interest can be calculated via the attachment.

Hope it helps <3

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The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre
Rudik [331]

Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : a=-2

Common difference : d = 5 - (-2)

                                      = 5 + 2

                                      = 7

nth term of an A.P. is

a_n=a+(n-1)d

where, a is first term and d is common difference.

a_n=-2+(n-1)(7)

According to the equation, a_n>200.

-2+(n-1)(7)>200

(n-1)(7)>200+2

(n-1)(7)>202

Divide both sides by 7.

(n-1)>28.857

Add 1 on both sides.

n>29.857

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Substituting n=30, a=-2 and d=7, we get

S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]

S_{30}=15[-4+(29)7]

S_{30}=15[-4+203]

S_{30}=15(199)

S_{30}=2985

Therefore, the sum of all the terms in the progression is 2985.

6 0
3 years ago
Solve for C:<br> Spam: deiodhwidweiudjegydjwe
Maksim231197 [3]

Answer:

C=\frac{5F-160}{9}

Step-by-step explanation:

Let's solve for C.

F=\frac{9C}{5}

Step 1: Flip the equation.

\frac{9}{5} C+32=F

Step 2: Add -32 to both sides.

\frac{9}{5} C+32+-32=F+-32

\frac{9}{5}C=F-32

Step 3: Divide both sides by \frac{9}{5}.

\frac{\frac{9}{5}C}{\frac {9} {5}}=\frac{F-32}{\frac{9}{5} }

C=\frac{5F-160}{9}

Answer:

C=\frac{F-160}{9}

8 0
2 years ago
If ln(4x+y)=2x-3,then dy/dx=
Viktor [21]

\ln(4x+y)=2x-3

Differentiate both sides wrt x:

\dfrac{\mathrm d(\ln(4x+y))}{\mathrm dx}=\dfrac{\mathrm d(2x-3)}{\mathrm dx}

By the chain rule, we get

\dfrac1{4x+y}\dfrac{\mathrm d(4x+y)}{\mathrm dx}=2

\dfrac{4+\frac{\mathrm dy}{\mathrm dx}}{4x+y}=2

Solve for \frac{\mathrm dy}{\mathrm dx}:

4+\dfrac{\mathrm dy}{\mathrm dx}=8x+2y

\boxed{\dfrac{\mathrm dy}{\mathrm dx}=8x+2y-4}

4 0
2 years ago
Simplify. (-7y^2+4y+9)+(6y^2-5y+9)-(2y^2-9y-2)
Natali5045456 [20]

Combine like terms

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hope this helps

7 0
3 years ago
A research company desires to know the mean consumption of meat per week among people over age 40. A sample of 610 people over a
Papessa [141]

Answer: (3.0,\ 3.2)

Step-by-step explanation:

Confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}  (1)

, where \overline{x} = Sample mean

z_{\alpha/2}= Critical z-value

\sigma = Population standard deviation.

n= Sample size.

As per given , we have

n= 610

\sigma=1.1

\overline{x}=3.1

Significance level for 85% confidence : \alpha=1-0.85=0.15

By z-table critical two tailed z-value : z_{\alpha/2}=z_{0.075}=1.44

Put all values in (1) , we get

3.1\pm 1.44\dfrac{1.1}{\sqrt{610}}

3.1\pm 1.44\dfrac{1.1}{24.698}

3.1\pm 0.064

=(3.1-0.064,\ 3.1+0.064)=(3.036,\ 3.164)\approx(3.0,\ 3.2)

Hence, the 85% confidence interval for the mean consumption of meat among people over age 40.  = (3.0,\ 3.2)

5 0
3 years ago
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