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3 years ago

7

Mr. Vazquez needs money for school so he borrows 10,000 from Ms. Putnam for 4 years at 5% simple interest rate. What is the TOTA

L amount he pays back?

1 answer:

AnnZ [28]3 years ago

4 0

10000 x 1.05 = 10500

$10500

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Mrs. Martz is travelling to 300 miles to Florida

Scrat [10]

Answer:

:)

Step-by-step explanation:

300/60%=180

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3 years ago

The tangent of the graph of y=<img src="https://tex.z-dn.net/?f=e%5E%7Bax%7D" id="TexFormula1" title="e^{ax}" alt="e^{ax}" align

bearhunter [10]

a) The tangent to $y=e^{ax}$ at $x=p$ has slope

$y' = ae^{ax} \implies y'(p) = ae^{ap}$

and $y=e^{ap}$ at this point. It passes through the origin, so its equation is

$y - 0 = ae^{ap} (x - 0) \implies y = ae^{ap} x$

It also passes through the point $(p,e^{ap})$ on the curve, so

$y - e^{ap} = ae^{ap} (x - p) \implies y = e^{ap} + ae^{ap} x - ape^{ap}$

By substitution,

$ae^{ap} x = e^{ap} + ae^{ap} x - ape^{ap} \implies e^{ap} = ape^{ap} \implies ap=1 \\\\ \implies \boxed{p=\dfrac1a}$

b) The normal to $y=e^{ax}$ at $x=2p$ has slope

$-\dfrac1{y'(2p)} = -\dfrac1{ae^{2ap}} = -1 \implies ae^{2ap} = 1$

It follows that

$ae^{2ap} = ae^2 = 1 \implies \boxed{a = \dfrac1{e^2} \text{ and } p = e^2}$

c) The tangent line equation is then

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7 0

2 years ago

Select the correct answer. A simulated game of chess is programmed between two computers. The game is supposed to be biased in f

pishuonlain [190]

Answer:

C is the most suspicious set.

Step-by-step explanation:

We would expect that B wins 4/5 * 30 = 24 games.

In set A, B wins 23 games.

In B, B wins 24 games.

In C, B wins 15 games.

In D, B wins 25 games.

So result C is very suspicious.

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3 years ago

Read 2 more answers

The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city

mash [69]

Answer:

The correct option is a.

Step-by-step explanation:

The general form of a quadratic regression equation is

$y=ax^2+bx+c$ ..... (1)

Using graphing calculator we get

$a=-0.143393\approx -0.143$

$b=0.59525\approx 0.595$

$c=2.82964\approx 2.830$

Substitute these values in equation (1) to find the quadratic regression equation for this data set.

$y=-0.143x^2+0.595x+2.830$

Therefore the correct option is a.

4 0

3 years ago

Pleasee helpp answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Nonamiya [84]

Answer:

sqrt(29)

Step-by-step explanation:

To find the distance between two points, we use the formula

d = sqrt( ( x2-x1)^2 + (y2-y1)^2 )

d= sqrt( ( 8-6) ^2 + ( 2-7)^2)

= sqrt ( 2^2 + (-5)^2)

= sqrt 4+25)

= sqrt (29)

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3 years ago