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forsale [732]
3 years ago
8

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality. <97< \,

<\sqrt{97}<\,<97 ​
Mathematics
1 answer:
nlexa [21]3 years ago
7 0

96 is first num

98 is second num

hopw i helped

brainliest plss!!!!!!

 -Zylynn

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miss Akunina [59]

Answer:

sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would

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2 years ago
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
What makes the square root of 8 irrational?
Dvinal [7]

You can't write it as a fraction.

6 0
4 years ago
the function f(x)=4 (2)^x represents the number of people who share a cat video x hours after it first appears on a wedsite. how
Gennadij [26K]

Answer:

\boxed{\text{It doubles}}

Step-by-step explanation:

f(x)=4(2)^{x}

Let's create a table of the values.

\begin{array}{lr}\mathbf{x} & \mathbf{f(x)} \\0 & 4 \\1 & 8 \\2 & 16 \\3 & 32 \\4 & 64 \\5 & 128 \\\end{array}\\\text{The number of people sharing the video $\boxed{\textbf{doubles}}$ every hour}

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3 years ago
Use a number line to solve 235+123
Verizon [17]
The answer is 358 but i cant use the number line in this case.
7 0
4 years ago
Read 2 more answers
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