A foreign country uses the stellar as its currency. Before a trip to that​ country, wants to exchange ​$ to stellars. Which of Bank A and Bank B has the better exchange​ rate? How many more stellars would get if exchanged h ​$ at the better exchange rate instead of at the other​ rate?

Answer:

We obtained the two exponential functions:

Step-by-step explanation:

As we know that the exponential function is of the form

f(x) = abˣ

Given the points

We know these points belong to the exponential function.

so substituting the values (3, 7) and (5, 63) in the function

putting (3, 7)

y = abˣ  

7 = ab³

also putting (5, 63)

y = abˣ

63 = ab⁵

Considering the 2nd equation

63 = ab⁵

as

[tex]a^b\times \:a^c=a^{b+c}[/tex]

so

63 = ab³×b²  

substituting 7 = ab³ in 63 = ab³×b²  

63 = 7 × b²

b² = 63/7

b² = 9

b = ± 3

If b = 3

plug in b = 3 in the equation 7 = ab³ to find the value 'a'

7 = ab³

7 = a(3)³

7 = a × 27

a = 7/27

so, a = 7/27 and b = 3 would give us the function

y = abˣ

[tex]y\:=\:\frac{7}{27}\left(3\right)^x[/tex]

if b = -3

plug in b = -3 in the equation 7 = ab³ to find the value 'a'

[tex]\:7\:=\:a\left(-3\right)^3[/tex]

[tex]a\left(-27\right)=7[/tex]

[tex]a=-\frac{7}{27}[/tex]

so, a = -7/27 and b = -3 would give us the function

y = abˣ

[tex]y\:=-\:\frac{7}{27}\left(-3\right)^x[/tex]

Thus, we obtained the two exponential functions:

Answer:

true

Step-by-step explanation:

True is the answer

i hope this helps you

Please mark me as brainliest

Thanks!!

Answer:

Step-by-step explanation:

Top triangle:

The hash marks indicate congruence. So, x is congruent to 15 or x= 15

x+6= 21

The length of the sides of this triangle are 15,15, and 21.

Two sides are congruent so isosceles.

Bottom triangle:

The sum of the angles in a triangle is 180.

30+35+x=180

75+x=180

x=105

105> 90, so this is an obtuse triangle.

Answer:

Step-by-step explanation:

Top triangle

good luck God bless merry Christmas and happy new year and stay safe and good luck in life! God bless y’all! :)

Answer:

exact form 3/2 decimal  form 1.5 mixed number form 1 1/2

Step-by-step explanation:

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{x = - \frac{3}{2} }}}}[/tex]

☯[tex] \underline{ \underline{ \sf{Question}}} : [/tex]

☯ [tex] \underline{ \underline{ \sf{To \: find}}} : [/tex]

[tex] \text{Given \: Equation : \: 3(x - 2) + 4 = x - 5}[/tex]

You must distribute first ! In this equation , you have the distributive property on left hand side of the equation. You must first get rid of the parentheses.

⇢ [tex] \text{3 × \: x - 3× 2 + 4 = x - 5} [/tex]

⇢ [tex] \text{3x - 6 + 4 = x - 5}[/tex]

On the left hand side , you have two numbers : - 6 and 4. Remember that ' The negative and positive numbers are subtracted but posses the sign of the bigger number. '

⇢[tex] \sf{3x - 2 = x - 5}[/tex]

Move x to left hand side and change it's sign.

Similarly , move 2 to right hand side and change it's sign.

⇢[tex] \sf{3x - x = - 5 + 2}[/tex]

On the left hand side , you have like terms. Combine the like terms : 3x - x = 2x

⇢[tex] \sf{2x = - 5 + 2}[/tex]

On the right hand side , - 5 + 2 = -3

⇢[tex] \sf{2x = - 3}[/tex]

Divide both sides by 2

⇢[tex] \sf{ \frac{2x}{2} = - \frac{3}{2} }[/tex]

⇢[tex] \boxed{\sf{x = - \frac{3}{2} }}[/tex]

-----------------------------------------------------------------

✏ CHECK :

[tex] \text{3(x - 2) + 4 = x - 5}[/tex]

Substitute [tex] \sf{ - \frac{3}{2}} [/tex] for x into the original equation. And simplify !

⇾ [tex] \sf{3( - \frac{3}{2} - 2) + 4 = - \frac{3}{2} - 5}[/tex]

⇾[tex] \sf{3( \frac{ - 3 - 2 \times 2}{2} ) + 4 = \frac{ - 3 - 5 \times 2}{2}} [/tex]

⇾[tex] \sf{3( \frac{ - 3 - 4}{2} ) + 4 = \frac{ - 3 - 10}{2}} [/tex]

⇾[tex] \sf{3( \frac{ - 7}{2} ) + 4 = \frac{ - 13}{2}} [/tex]

⇾[tex] \sf{ \frac{ - 21}{2} + 4 = \frac{ - 13}{2}} [/tex]

⇾[tex] \sf{ \frac{ - 21 + 4 \times 2}{2} = \frac{ - 13}{2}} [/tex]

⇾[tex] \sf{ \frac{ - 21 + 8}{2} = \frac{ - 13}{2}} [/tex]

⇾[tex] \sf{ \frac{ - 13}{2} = \frac{ - 13}{2}} [/tex]

Since both sides are equal , x = [tex] \boxed{ - \sf{ \frac{ 3}{2} }}[/tex] is the correct answer.

And we're done !!

Hope I helped!

Have a wonderful day ! ツ

~TheAnimeGirl ♡

Answer:

[tex]\dfrac{5}{6}[/tex]

Step-by-step explanation:

The problem says Two-thirds divided by StartFraction 4 Over 5 EndFraction.

Two thirds means = 2/3

It means,

[tex]x=\dfrac{2}{3}\ \text{divided by}\ \dfrac{4}{5}[/tex]

or

[tex]x=\dfrac{\dfrac{2}{3}}{\dfrac{4}{5}}\\\\=\dfrac{2}{3}\times \dfrac{5}{4}\\\\=\dfrac{5}{6}[/tex]

Hence, the required answer is [tex]\dfrac{5}{6}[/tex].

Answer: 1/5

Step-by-step explanation:

Answer:

I'm pretty sure the answer is 48 minutes!

Answer:

x=7 y=5

Step-by-step explanation:

3x+6(40-5x)=51

3x+240-30x=51

-27x+240=51

-27x=-189

27x=189

x=7

y=40-5(7)

y=40-35

y=5

Answer:

i think adding heat to reaction will change the rate of the reaction

Answer:

136

Step-by-step explanation:

20% * 680

Cheers! :)

Answer:

true

Step-by-step explanation:

Answer:

y=5x and y=40 when x=8

Answer:

y = 5x

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 2

10 = 2k ( divide both sides by 2 )

5 = k

y = 5x ← equation of variation

The age for when babies learn to crawl is different for Januar,May, and September.. so I guess yes?

Answer:

Step-by-step explanation:

Lol what is this question man. If he bought it for $34, pretty sure the "selling price" is $34.00

Answer:

$34.00

Step-by-step explanation:

if he get it for $34.00 so the selling price is $34.00

Given :

In 2006, 65.2 million people subscribed to cable television.

In 2013, that number had decreased to 54.2 million.

To Find :

The percent decrease in the number of cable TV subscribers from 2006 to 2013.

Solution :

Decrease in the number of cable TV subscribers from 2006 to 2013 is :

[tex]Percetage\ Decrease = \dfrac{Decrease\ in \ price}{Initial\ price}\times 100\\\\Percetage\ Decrease = \dfrac{65.2-54.2}{65.2}\times 100\\\\Percetage\ Decrease = 16.87[/tex]

Therefore, percentage decrease is 16.87 %.

Answer:

The part of an atom where nearly whole mass is

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Step-by-step explanation:

Answer:

d=0

d=0.5

d=1

d=1.5

d=2

d=2.5

Answer:

Step-by-step explanation:

There are 12 inches in a foot

So for one full foot in inches you have just  1 foot with 6 inches remaining/ 1 foot with half a foot remaining.

Hope this helped!

Answer: 8 pieces.

Step-by-step explanation;

There is 12 inch in a foot, so they are 144 inches in 12 foot. If India cuts 18-inch pieces, she can cut 8 pieces. You can find this amount by dividing 144 inches into 18 inches, this will be eight pieces.

Answer:

The temperature in 4 hours = -2 °F

Thus, option (D) is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the rate of change or slope and b is the y-intercept

Given that the current temperature outside = 10°F.

Thus, the y-intercept = b = 10°F

Given that as the day went on, It will fall at a constant rate of 3°F per hour.

Thus, the slope or rate of change = -3°F

(The rate of change or slope is -3 because the temperature is reducing)

Thus, the rate of change = slope = m = -3

Thus, substituting m = -3 and b = 10 in the equation

[tex]y = mx+b[/tex]

[tex]y = -3x + 10[/tex]

Now, substituting x = 4 to determine the temperature after 4 hours.

y = -3(4) + 10

y = -12 + 12

y = -2 °F

Therefore, the temperature in 4 hours = -2 °F

Thus, option (D) is true.

Answer:A translation is a function that moves every point a constant distance in a specified direction. A vertical translation is generally given by the equation y=f(x)+b y = f ( x ) + b .

Step-by-step explanation: y=f(x)+b y = f ( x ) + b .

28 + 6 = 34 and 34 - 3 = 31!!!!!!!

Answer:

total20000

bonus15000

remaining 20000-15000=5000

ratio 2+3=5x

Dan part =3x

Dan value=( 5000/5)*3=3000

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

what you would do is 8 divided by 200 and get 0.04

please mark me brainliest

Answer:

hey i need help with the same test can you help me please. I need the answers please help me.

Step-by-step explanation:

Answer:

985

Step-by-step explanation:

[tex]let\ m=6[/tex]

[tex]3^{6}=729[/tex][tex]999-729=270[/tex]

[tex]2^{8}=256[/tex] and [tex]2^{9}=512[/tex] which would be to big of a number.

[tex]3^{6}+2^{8}=729+256=985[/tex]

Therefore the largest three-digit integer in this system is 985

Answer:

I think option c is the best answer but i am not surely ok

Answer:here's the correct answer for this question

Step-by-step explanation:edge2023

I think it's B

Not 100% sure but I think

Answer:

10.2

Step-by-step explanation: