8x10^-3 is how many times as great as 4x10^-6

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$5\\ P=\textit{original amount deposited}\\ r=rate\to 1.25\%\to \frac{1.25}{100}\dotfill &0.0125\\ t=years\dotfill &\frac{1}{2} \end{cases} \\\\\\ 5 = (P)(0.0125)(\frac{1}{2})\implies \cfrac{5}{(0.0125)(\frac{1}{2})}=P\implies 800=P[/tex]

Answer:

4 : 10

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

there's seven parts in green (2 yellow and 5 blue)

two of them are yellow

so 2/7 is the fraction

(seven is prime so it's already in simplest form.)

Answer:

x = -5

Step-by-step explanation:

2x = -10 <== divide both sides by 2

/2      /2

x = -5

Check your work:

2x = -10

2(-5) = -10

-10 = -10

This statement is true

Hope this helps!

Answer:

i think 1.5 imagine a dot so its on 5 and 1 then you get 1.5 thats what i think

Step-by-step explanation:

pls dont get mad if i got it wrong D:

Answer:(1, 5)

Step-by-step explanation:

Answer:

Answer = 6^7

Step-by-step explanation:

When multiplying expressions with exponent you add the exponents together. So here you would get 6^13/6^6. However you can simplify this farther since the base (6) is the same. When dividing expressions with exponents you subtract the exponents so the the answer would be 6^7.

Hope that helps! :)

Answer:

Step-by-step explanation:

Answer:

Period = [tex]\frac{\pi }{4}[/tex]

Amplitude = 4

Step-by-step explanation:

To find the answer, use the form acos(bx - c) + d:

a = -4

b = 8

c = 0

d = 0

The amplitude is the absolute value of a, so:

|a| = |-4| = 4

To find the period, use this equation:

[tex]\frac{2\pi }{b}[/tex]

Replace b with 8 in the formula and solve:

[tex]\frac{2\pi }{8} = \frac{\pi }{4}[/tex]                Simplify

So, the period is equal to [tex]\frac{\pi }{4}[/tex]

Hope this helps!!

Answer:

PEMDAS

Step-by-step explanation:

start with parantheses

52+6×(5-3)-10/2

52+6×2-10/2

no exponents so move on to multiplication

52+12-10/2

followed by division

52+10-5

finally add and subtract

57

Answer:

$24

Step-by-step explanation:

320 x 0.45=144

320-144=176

200-176=24

The equation that represents the amount saved is T(n) = 3 * (2^n), and the total amount saved in 5 weeks is $186

The statement is given as:

raise $2 to the number of weeks he has been working, multiply it by 3,

Let the number of weeks be n.

So, we have:

T(n) = 3 * (2^n)

For week 1 to 5, we have:

T(1) = 3 * (2^1) = 6

T(2) = 3 * (2^2) = 12

T(3) = 3 * (2^3) = 24

T(4) = 3 * (2^4) = 48

T(4) = 3 * (2^5) = 96

The sum is then calculated as:

Sum = 6 + 12 + 24 + 48 + 96

Evaluate the sum

Sum = 186

Hence, the total amount saved in 5 weeks is $186

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Answer:

5539 or 1764[tex]\pi[/tex]

Step-by-step explanation:

to find the area, we need the radius

The radius(R) is half of the diameter(D)

R = D/2

R = 42/2

R = 21

area of a circle(A) = pi x radius[tex]^{2}[/tex]

A = pi( which most times in a problem, equals 3.14) x 42[tex]^{2}[/tex]

A = 3.14 x 1764

A = 5538.96

A(when rounded) = 5539

Answer:

A coupon for 30%

Step-by-step explanation:

A coupon takes the a certain percentage of a price and subtracts it (a discount). A coupon for 30% off takes 30% of the price which is $60 and subtracts it, same goes for the $20 off coupon. Because a greater percentage is being taken off of the price, the 30% off coupon would save someone more money.

Answer:

a is the same aand b is the sane

Answer:

17

Step-by-step explanation:

→ f(x) = 3x + 2

→ f(5) = 3(5) + 2

→ 15 + 2

→ 17 is the answer.

Answer:

F(5) = 17

Step-by-step explanation:

to solve, we just need to plug all values of x into 5 as shown

f(x) = 3x + 2
f(5) = (3*5) + 2

then following the format of PEMDAS (explained at footer) we solve the new equation

f(5) = (3*5) + 2
f(5) = 15 + 2
f(5) = 17

therefor F(5) is equal to 17

The PEMDAS format of solving equations:

the term Pemdas stands for the steps involved in solving an equation
Parenthasis (follow PEMDAS within these ( ) first untill in simplest form)
Exponents (such as x^y)
Multiply (any multiplication)
Devide (any devision)
Addition (any addition)
Subtraction (any subtraction)

hpe all this helps you ^^

Answer:

2cans

Step-by-step explanation:

1/2 = .5 so .5×3=1.5 and 1.5 ÷ .075 =2

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{3}}x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-1}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-1}\implies 3}}[/tex]

so we're really looking for the equation of a line whose slope is 3 and passes through (1 , 10)

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{3}(x-\stackrel{x_1}{1}) \\\\\\ y-10=3x-3\implies y=3x+7[/tex]

Answer:

164+3.28

Step-by-step explanation:

(16.4)(10)+(16.4)(0.2)

164+3.28

167.28

The number of miles she drove the van for is 250 miles

From the question, we are to determine the number of miles Shelly drove the van

The given equation which shows the relationship between the number of days she rented the van, d, and the number of miles she drove the van, m is

20d + 0.7m = 235

Now, if she rented the van for 3 days, that is, d = 3

Putting the value of d = 3 into the equation to determine the value of m

We get

20(3) + 0.7m = 235

60 + 0.7m = 235

0.7m = 235 - 60

0.7m = 175

m = 175 / 0.7

m = 250

Hence, the number of miles she drove the van for is 250 miles

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Answer:

Step-by-step explanation:

Finding max/min: There are two ways to find the absolute maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.

Answer:

I think that the actions of older people/family members around you greatly influence that thoughts/actions of a younger child. Since Marie looks up to Alice, Marie probably thinks that having a child at such a young age is a good idea. Therefore if Alice gave birth at the age of 15, there is a high chance her younger sister will follow in her footsteps.

(I'm not sure how this relates to math)

Answer:

Exponential growth

Step-by-step explanation:

As it mentions that the population is tripling each year, we can clearly understand that it is exponential growth.

Equation

⇒ Let y be total population of mice and x the number of years

⇒ y = 85(3ˣ)

Hope it helps ~

Using the line of best fit, it is found that the prediction of the forearm length of a man whose height is of 72 in is of 19.417 in.

It states that the predicted forearm length of a person of height x is given by:

y = -0.2967 + 0.2738x.

In this problem, the height is of x = 72 in, hence:

y = -0.2967 + 0.2738(72) = 19.417 in.

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The required negative function h(x) with a y-intercept at "-4" with one solution is x + 4

The y-intercept of an equation is the pint where the x-value of the function is 0, that is;

f(-4) = 0

Since the solution has one solution, hence it will be linear in nature

h(x) = x + 4

This gives the required negative function h(x) with a y-intercept at "-4" with one solution

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Total times die rolled =10+6+4+8+6+6=40

Times 3 and 6 appears

Experimental probability

P(3 or 6)

Answer:

[tex]\sf \dfrac{1}{4}[/tex]

Step-by-step explanation:

Experimental probability

Calculated by dividing the number of times an event happens by the total number of trials in an actual experiment.

[tex]\textsf{Experimental Probability} = \dfrac{\textsf{Number of times an event happens}}{\textsf{Total number of trials}}[/tex]

Total number of trials = 10 + 6 + 4 + 8 + 6 + 6 = 40

Total number of times rolling a 3 or a 6 = 4 + 6 = 10

[tex]\textsf{Experimental Probability of rolling 3 or 6} = \sf \dfrac{10}{4}=\dfrac{1}{4}[/tex]

Answer:

755s

Step-by-step explanation:

60*12+35=755

This is the way

Answer:

755 seconds

Step-by-step explanation:

1min = 60 sec

12 x 60 = 720

720+35 = 755

:)