How much money will you have in 6 years if you invest $1000 at 3% compounded monthly?

Mathematics

1 answer:

Ilia_Sergeevich [38]2 years ago

6 0

i don’t know i really just need points sorry 18

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A bacteria culture doubles every 5 hours. Determine the hourly growth rate of the bacteria

Gennadij [26K]

$\sqrt[5]{2}-1 = 1 +x - 1$ Answer:

14.87% per hour

Step-by-step explanation:

Let's pretend we're starting with one bacteria.

Double of one is two

We're gonna have to use this formula: A = P(1 + x)ⁿ

A = Amount (which is 2)

P = Initial amount (which is 1)

x = percentage per time (hour)

n = amount of time (hours)

So our equation will look like this:

2 = 1(1 + x)⁵

First, we need to root both sides to isolate (1 + x)

$\sqrt[5]{2} = \sqrt[5]{(1+x)}$

$\sqrt[5]{2} = 1 +x$

Then subtract both sides by 1

$\sqrt[5]{2}-1 = 1 +x - 1$

$x=\sqrt[5]{2}-1$

$\sqrt[5]{2} = 1.148698355$

1.148698355 - 1 = 0.148698355

x = 0.148698355

5 0

2 years ago

In May, Bradley bought 48 styrofoam balls and decorated them as toy figurines. In June, he sold 19 figurines. In May, Lupe bough

mafiozo [28]

Answer:

Step-by-step explanation:

Since we have given that

Number of styrofoam balls bought by Bradley in May = 48

Number of toy figurines sold in May = 19

Number of styrofoam balls bought by Lupe in June = 44

Number of toy figurines sold in June = 21

So, we need to make a matrix that represents all of their May purchases and their June sales :

So, it is given by

May June

Purchases Sales

Bradley 48 19

Lupe 49 21

Thus, we can define a 2x2 matrix in which row 1 represents Bradley and row 2 represents Lupe. The columns then represent May and June. To distinguish between purchase and sale, we will show sale by a positive number and sale with negative; therefore the final matrix will be

$\left[\begin{array}{ccc}48-19\\44-21\end{array}\right]$