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Keith_Richards [23]
3 years ago
11

After 5 years, mike's account earned $1200 in interest. If the interest rate (in decimal form) is 0.06, how much did mike initia

lly invest?
Mathematics
2 answers:
Maksim231197 [3]3 years ago
8 0

20000 your welcome

need help ask me

Zina [86]3 years ago
4 0
20,000 is your answer best of luck
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Consider rolling two fair dice and observing the number of spots on the resulting upward face of each one. Letting A be the even
Allushta [10]

Answer:

P(E|A)= \frac{10}{11}

Step-by-step explanation:

Given

Two rolls of die

E \to one of the outcomes is 6

A \to atleast one is 6

Required

P(E|A)

First, list out the outcome of each

E = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}

A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\}

So:

P(E|A)= \frac{n(E\ n\ A)}{n(A)}

Where:

E\ n\ A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}

n(E\ n\ A) = 10

n(A) = 11

So:

P(E|A)= \frac{10}{11}

7 0
3 years ago
Verify identity list steps. Cot(t)(1-cos^2(t))=cos(t)sin(t)
storchak [24]
Remember: We have to work from either the LHS or the RHS.
(Left hand side or the Right hand side)

You should already know this:

\huge{Cot(t) = \frac{1}{tan(t)} = \frac{1}{\frac{sin(t)}{cos(t)}} = 1\div \frac{sin(t)}{cos(t)} = 1\times \frac{cos(t)}{sin(t)}=\boxed{\frac{cos(t)}{sin(t)}}


You should also know this:

sin^2(t) + cos^2(t) = 1\\\\\boxed{sin^2(t)} = 1 - cos^2(t)

So plugging in both of those into our identity, we get:

\frac{cos(t)}{sin(t)}\cdot sin^2(t) = cos(t)\cdot sin(t)

Simplify the denominator on the LHS (Left Hand Side)

We get:

cos(t) \cdot sin(t) = cos(t) \cdot sin(t)

LHS = RHS

Therefore, identity is verified.
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%20%2B%207%20%20%3C%20%20-%202" id="TexFormula1" title="x + 7 &lt; - 2" alt="x + 7 &lt; -
vladimir1956 [14]
First one because when you subtract 7 u keep the var. x alone and isolate it.
5 0
3 years ago
Ariana's grandfather made a scaled down model of a knitting needle to be placed inside a dollhouse. Arianna measured the model b
Andrew [12]

Answer:

10.5

Step-by-step explanation:

1.5 inches

.5 and 1.5 =3

3x3.5=10.5

3 0
3 years ago
Read 2 more answers
I need to solve: 6x+3^59
MrMuchimi
6х=59:3
6х=19,6
Х=19,6:6
Х=3,2
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