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3 years ago

Please help!! I'm confused

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

7 0

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Step-by-step explanation:

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Solve. Х - - 5 - 8 The solution is x=

amm1812

It should be 20 I did it on my test

3 0

3 years ago

Read 2 more answers

Clark and Lana take a 30-year home mortgage of $128,000 at 7.8%, compounded monthly. They make their regular monthly payments fo

svp [43]

Answer:

Step-by-step explanation:

From the given information:

The present value of the house = 128000

interest rate compounded monthly r = 7.8% = 0.078

number of months in a year n= 12

duration of time t = 30 years

To find their regular monthly payment, we have:

$PV = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{r}{n})^{-nt}}{\dfrac{r}{n}} \end {bmatrix}$

$128000 = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{0.078}{12})^{- 12*30}}{\dfrac{0.078}{12}} \end {bmatrix}$

128000 = 138.914 P

P = 128000/138.914

P = $921.433

∴ Their regular monthly payment P = $921.433

To find the unpaid balance when they begin paying the $1400.

when they begin the payment ,

t = 30 year - 5years

t= 25 years

$PV= 921.433 \begin {bmatrix} \dfrac{1 - (1 - \dfrac{0.078}{12})^{25*30}}{\dfrac{0.078}{12}} \end {bmatrix}$

PV = $121718.2714

C) In order to estimate how many payments of $1400 it will take to pay off the loan, we have:

$121718.2714 = \begin {bmatrix} \dfrac{1300 (1 - \dfrac{12.078}{12}))^{-nt}}{\dfrac{0.078}{12}} \end {bmatrix}$

$121718.2714 = 200000 \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}$

$\dfrac{121718.2714}{200000 } = \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}$

$0.60859 = \begin {bmatrix} (1 - \dfrac{12}{12.078}))^{nt} \end {bmatrix}$

$0.60859 = (0.006458)^{nt}$

$nt = \dfrac{0.60859}{0.006458}$

nt = 94.238 payments is required to pay off the loan.

How much interest will they save by paying the loan using the number of payments from part (c)?

The total amount of interest payed on $921.433 = 921.433 × 30(12) years

= 331715.88

The total amount paid using 921.433 and 1300 = (921.433 × 60 )+( 1300 + 94.238)

= 177795.38

The amount of interest saved = 331715.88 - 177795.38

The amount of interest saved = $153920.5

6 0

4 years ago

A tree is leaning at a 5° angle from vertical, making an 85° angle with the ground. When the sun is at a 65° angle of elevation,

Vinvika [58]

D = 25 ft is the length of a shadow. L - the length of a tree.
Two angles are 85° and 65° and the third is 180° - ( 65° + 85° ) =
= 180° - 150° = 30°.
We will use the Sine Law:
25 / sin 30° = L / sin 65°
25 / 0.5 = L / 0.9063
25 * 0.9063 = 0.5 L
22.6577 = 0.5 L
L = 22.6577 : 0.5
L = 45.3 ft.
Answer: the approximate length of the tree is 45.3 ft.

3 0

3 years ago

Determine the number of possible positive and negative real roots; then use the rational root theorem to determine all of the po

Stolb23 [73]

Answer:

+- 1/4,1/2,1,2,4

5 solutions.

Step-by-step explanation:

so first we have to do this using the theorum we find all the divors of -2

so +-2, +-1/ +-2,+-1,+-4 so there would be 5 solutions.

+- 1/4,1/2,1,2,4

if my answer helps please mark as brainliest.

5 0

3 years ago

Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gen

erma4kov [3.2K]

You need to use the binomial probability formula:
$p(k) = \frac{n!}{k!(n-k)!} p^{k} (1-p)^{n-k}$

where:
n = total number of events = 10
k = number of events we are testing = 6
p = probability of event happening = 0.5

$p(6) = \frac{10!}{6!(10-6)!} 0.5^{6} (1-0.5)^{10-6}$
= 210×0.015625×0.0625
= 0.205078

Hence, the probability of getting 6 boys out of 10 births is p = 0.205.

6 0

4 years ago