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myrzilka [38]
3 years ago
13

Please please help me with this!

Mathematics
1 answer:
dlinn [17]3 years ago
8 0

Answer:

6 and 29

Step-by-step explanation:

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Please help!!! ASAP someone please
murzikaleks [220]

Answer:

0.31 yr

Step-by-step explanation:

The formula for interest compounded continuously is

FV = PVe^{rt}

FV = future value, and

PV = present value

If FV is twice the PV, we can calculate the doubling time, t

\begin{array}{rcl}2 & = & e^{rt}\\\ln 2 & = & rt\\t & = & \dfrac{\ln 2}{r} \\\end{array}

1. Brianna's doubling time

\begin{array}{rcl}t & = & \dfrac{\ln 2}{0.065}\\\\& = & \textbf{10.663 yr}\\\end{array}

2. Adam's doubling time

The formula for interest compounded periodically is

FV = PV\left (1 + \dfrac{r}{n} \right )^{nt}

where

n = the number of payments per year

If FV is twice the PV, we can calculate the doubling time.

\begin{array}{rcl}2 & = & \left (1 + \dfrac{0.0675}{4} \right )^{4t}\\\\&= & (1 + 0.016875 )^{4t}\\& = & 1.016875^{4t}\\\ln 2& = & 4 (\ln 1.01688)\times t \\& = & 0.066937t\\t& = & \dfrac{\ln 2}{0.066937}\\\\& = & \textbf{10.355 yr}\\\end{array}

3. Brianna's doubling time vs Adam's

10.663 - 10.355 = 0.31 yr

It would take 0.31 yr longer for Brianna's money to double than Adam's.

3 0
3 years ago
Aisha thinks 1,275 rounded to the nearest hundred is 1,200 because 2 is less than 5. What might be Aisha's misunderstanding abou
dangina [55]
She's rounding down. Thinking you use the number from the hundred place. You round using the tens place. It's over 50 so u go off the 75 in this case ending up with 1,300
5 0
4 years ago
Find the slope of the line going through the points (-4, 3) and (-1,-6)
Fed [463]

Answer:

-3

Step-by-step explanation:

m=y2-y1/x2-x1

m=-6-3/-1-(-4)

m=-9/3

m=-3

8 0
3 years ago
Read 2 more answers
ΔABC and ΔXYZ are similar triangles. If BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4, find the value of x.
Nat2105 [25]

Solution:

we are given that ΔABC and ΔXYZ are similar triangles.

As we know , when two triangles are similar then the ratios of their corrsponding sides are equal.

Here we have

BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4

So we can write

\frac{x+9}{x+5}= \frac{x+7}{x+4}\\
\\
(x+9)(x+4)=(x+7)(x+5)\\
\\
x^2+13x+36=x^2+12x+35\\
\\
13x-12x=35-36\\
\\
x=-1\\
\\

Hence then value of x=-1.

3 0
4 years ago
Read 2 more answers
How many solutions does the equation −2y + 2y + 3 = 3 have?
Kay [80]

The given equation is -2y+2y+3=3

By solving the given equation, we get

0\times y=0

0=0

While solving the equation,we get 0=0.

Therefore, the given equation is true for all the values of y.

Hence, we can say that the given equation has infinite number of solutions.

7 0
3 years ago
Read 2 more answers
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