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Elena-2011 [213]

2 years ago

9

At what rate did you invest your $1000, if it made you $120 in interest over the course of 3 years? (Write your answer as a perc

ent without the percent sign)

1 answer:

Anon25 [30]2 years ago

8 0

Answer:

The rate at which the $1000 is invested is 4%.

Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.

Step-by-step explanation:

Amount invested = $1000

Total interest income over the course of 3 years = $120

Number of years = 3

Annual interest income = Total interest income over the course of 3 years / Number of years = $120 / 3 = $40

The interest ate on the $1000 invested can now be calculated as follows:

Interest rate = (Annual interest income / Amount invested) * 100 = ($40 / $1000) * 100 = 0.04 * 100 = 4%

Therefore, the rate at which the $1000 is invested is 4%.

Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.

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Can someone please explain to me the difference between SAS and SSS in Geometry when dealing with triangle proofs?

ANTONII [103]

Hello from MrBillDoesMath!

Answer: SAS = side - angle -side congruence

SSS = side - side - side congruence

Discussion :

In Plane Geometry, identical triangles are said to be "congruent". There are several ways, depending upon the information you have, to prove 2 triangles are congruent.

In one approach ("SSS") if you can show that 2 triangles have identical side lengths, then the triangles are congruent. (A triangle has 3 sides, hence "SSS" -- 3 S's; 3 sides, get it?)

In another approach ("SAS") if you can show that 2 sides, and the angle included between those sides, in one triangle are identical to the sides and included angle in another triangle, then the triangles are congruent

It's easier to understand this with a picture or diagram than in words. Please review the SSS, SAS picture in your textbook

Regards, MrB

7 0

3 years ago

How long would it take you to double your money is the bank pays 3.6% interest, compounded

Lapatulllka [165]

Answer:

$t=19.25\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\P=x\\r=3.6\%=3.6/100=0.036\\A=2x$

substitute in the formula above

$2x=x(e)^{0.036t}$

solve for t

simplify

$2=(e)^{0.036t}$

Apply ln both sides

$ln(2)=ln[(e)^{0.036t}]$

Applying property of exponents

$ln(2)=[0.036t]ln(e)$

Remember that ln(e) =1

$ln(2)=[0.036t]$

$t=ln(2)/[0.036]$

$t=19.25\ years$

7 0

3 years ago

What is the length (magnitude) of the vector (2,-1)?

KiRa [710]

Answer:

$\sqrt{5}$

Step-by-step explanation:

The given vector is represented by (2,-1).

This can be represented in general form as (x,y) where x=2 and y=-1.

Magnitude of the vector represented as (x,y) is given by $[\sqrt{x^{2}+y^{2}}\]$

Evaluating for the given values of x and y,

$\sqrt{2^{2}+(-1)^{2}}$ $=\sqrt{4+1}$

$=\sqrt{5}$

Length of the vector is $\sqrt{5}$

5 0

2 years ago

A biologist studied how cells grow by adding liquid protein to cell samples. She reported in her study that she divided 3/5 of a

r-ruslan [8.4K]

Answer: $\dfrac{1}{5}\text{ of an ounce.}$

Step-by-step explanation:

Given : A biologist studied how cells grow by adding liquid protein to cell samples.

She divided $\dfrac{3}{5}$ of an ounce of liquid protein evenly among 3 cell samples.

Here , total quantity of liquid protein = $\dfrac{3}{5}$ of an ounce

Total cell samples = 3

Now , Quantity of liquid protein given by her to each cell = (total quantity of liquid protein ) ÷ (3)

= $\dfrac{3}{5}\times\dfrac{1}{3}=\dfrac{1}{5}\text{ of an ounce}$ .

Hence, Quantity of liquid protein given by her to each cell = $\dfrac{1}{5}\text{ of an ounce.}$

4 0

3 years ago

Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil. What would one pencil and one

vladimir2022 [97]

It is given in the question that

Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil.

Let the cost of pencil is $ x .

Therefore cost of pen is

$$(x+0.40)$

According to the question

$12(x+0.40)+20x =16$

Distributing 12 and combining like terms, we will get

$12x+4.8+20x=16\\32x = 11.2\\x = 0.35$

Therefore cost of pencil is $0.35 and cost of pen is

$0.35+0.40=0.75$

3 0

3 years ago