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LiRa [457]
3 years ago
9

Point P is graphed at (4, 5) shown

Mathematics
1 answer:
Firdavs [7]3 years ago
4 0
If we’re talking transformations, it’s rotation.
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A person invests $1,150 in an account that earns 5% annual interest compounded continuously. Find when the value of the investme
AfilCa [17]

Answer:

11.1 years

Step-by-step explanation:

The formula for interest compounding continuously is:

A(t)=Pe^{rt}

Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years.  Filling in what we have looks like this:

2000=1150e^{{.05t}

We will simplify this first a bit by dividing 2000 by 1150 to get

1.739130435=e^{.05t}

To get that t out the exponential position it is currently in we have to take the natural log of both sides.  Since a natural log has a base of e, taking the natual log of e cancels both of them out.  They "undo" each other, for lack of a better way to explain it.  That leaves us with

ln(1.739130435)=.05t

Taking the natural log of that decimal on our calculator gives us

.5533852383=.05t

Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.

7 0
3 years ago
What does y=1\4X-5 equal
Tema [17]

Answer:

y= -5/4

Step-by-step explanation:

download a app called math papa. it's a great cheat cheat for these types of problems

8 0
3 years ago
Solve −6x+6−7=2x+8 for x. How would I solve this?
MakcuM [25]

Answer:

Step-by-step explanation:

−6x+6−7=2x+8

-1-8=2x+6x

8x=-9

x= -\frac{9}{8}

7 0
3 years ago
How do I convert standard form to point slope
Fittoniya [83]

The point-slope form:

y-y_1=m(x-x_1)

(x_1,\ y_1) - given point

m - given slope

The standard form:

Ax+By=C


y-y_1=m(x-x_1)    <em>use distributive property</em>

y-y_1=mx-mx_1      <em>add y_1 to both sides</em>

y=mx-mx_1+y_1      <em>subtract mx from both sides</em>

-mx+y=-mx_1+y_1       <em>change the signs</em>

mx-y=mx_1-y_1

8 0
3 years ago
If the length of AO is double the length of CO, the length of BO is?
andreev551 [17]

BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B

For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.

Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.

7 0
3 years ago
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