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Salsk061 [2.6K]
3 years ago
10

Lois loans her sister Emily $2,000 with a simple interest rate of 1.5%. How much money will Lois make in interest if it takes Em

ily 3.5 years to pay her back
Mathematics
1 answer:
ddd [48]3 years ago
4 0

Answer:3261.91

Step-by-step explanation: y=2000(1+.15)3.5

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a. 8.50

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Question 1: The diagonal of a rectangle, with base x, remains at a fixed
kramer

We have that The height changing rate  when the length of the base is 2 cm

dh/dt=-7.2cm/s

From the question we are told

The diagonal of a rectangle, with base x, remains at a fixed value of 3cm. If the base is increasing at a rate of 8 cm/s. at what rate is  the height changing when the length of the base is 2 cm?

Generally the Pythagoras equation for the triangle   is mathematically given

as

r^2=h^2+x^2

With r=3

Therefore

dx/dt=8cm/s

Hence

2rdr/dt=2hdh/dt+2xdx/dt\\\\\dh/dt=\frac{-x}{r^2-x^2}dx/dt

We  have

dh/dt=-2/\sqrt{5}(8)\\\\dh/dt=-7.2cm/s

Therefore

The height changing rate  when the length of the base is 2 cm

dh/dt=-7.2cm/s

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3 years ago
Express 2.41 x 10/4 in a standard form.
kakasveta [241]

The number written in standard form is 24100

Step-by-step explanation:

An object is said to be written in scientific notation when it is written in the following form:

m\cdot 10^n

where

m is the coefficient

n is the exponent of the power of ten

The number can be rewritten in standard form by writing the coefficient and then moving to the right (or to the left) the decimal point by n positions if n is positive (or negative).

In this problem, the number is

2.41\cdot 10^4

So we have

m = 2.41

n = 4

Therefore, we have to write 2.41 and then move the decimal point 4 positions to the right: so we get

2.41\cdot 10^4 = 24100

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4 years ago
Domain of f(x)= x+5/(x^2-1)
nikdorinn [45]

Answer:

The domain is all real numbers. Good luck and message me for more help.

Step-by-step explanation:


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