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3 years ago

A line has a slope of 3/5. It passes through (3,5) and (x,9). What is the value of x?

Mathematics

1 answer:

blagie [28]3 years ago

4 0

This is in 2 point form
(y2-y1)=m(x2-x1)
(9-5)=3/5(x-3)
x=29/3

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Owning a home may allow you to deduct _____.

TEA [102]

Interest on a mortgage

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3 years ago

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Please help!!!<br> A. 21890/990<br> B.21539/9990<br> C.215605/1010<br> D. 215605/1000

ollegr [7]

Answer:

The answer I got was D 215605/1000

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3 years ago

Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu

kakasveta [241]

Step-by-step explanation:

Natalie has $5000

She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

$P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}$

$P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}$

Here,

$i$ = interest rate

= number of compounding periods

$t$ = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, $n$ , becomes infinitely large.

Therefore, the formula as we discussed above would become:

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

Part c) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₂ $=\:6107.02$ $

So, Natalie will have $\:6107.02$ $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₁₀ $=13.597.50$ $

So, Natalie will have $13.597.50$ $ after 10 years.

Keywords: word problem, interest

Learn more about compound interest from brainly.com/question/6869962

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3 years ago

A garden in the shape of a right triangle is bordered on one side by a brick wall, on another side by a wooden fence, and on the

MAVERICK [17]

Let
x-----> the measure of the angle formed by the wooden fence and grass

we know that
in a right triangle
tan x=opposite side angle x/adjacent side angle x
opposite side angle x=13 ft
adjacent side angle x=21 ft
so
tan x=13/21x=arc tan (13/21)-----> x=31.76°------> x=32°

the answer is
32 degrees

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3 years ago

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Mr. Arnold covers his bathroom floor with identical tiles. The area of the floor is 72 square feet. It takes more than 72 tiles

777dan777 [17]

The tiles are identical, so you would need them to fit exactly.
if he uses 144 tiles to cover the floor, the area would be 72/144 = 0.5 square feet
this is just one example

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