If S (3,-4) is translated 5 units left and 3 units up, what is the ordered pair of S?
​

Answer: [tex]a_1=50,d=25[/tex] and $475 deposited into the account on her birthdays by her 18th birthday.

Step-by-step explanation:

It is given that, on Gabriela’s first birthday, her parents gave her a $50 savings account.

Initial term : [tex]a_1=50[/tex]

On every birthday after that her parents added to the account, increasing the amount they deposited by $25 each year.

Common difference : [tex]d=25[/tex]

It forms an AP: 50,75,100,...

nth term of an AP is

[tex]a_n=a_1+(n-1)d[/tex]

Substitute [tex]a_1=50[/tex] and [tex]d=25[/tex] in the above formula.

[tex]a_n=50+(n-1)25[/tex]

It represents the amount deposited into the account after n birthdays.

We need to find the amount by her 18th birthday.

Put n=18 in the above equation.

[tex]a_{18}=50+(18-1)25[/tex]

[tex]a_{18}=50+(17)25[/tex]

[tex]a_{18}=50+425[/tex]

[tex]a_{18}=475[/tex]

Therefore, $475 deposited into the account on her birthdays by her 18th birthday.

We are to calculate total amount given to Gabriela on her 18th birthday

Total amount Gabriela’s parents will have deposited into the account on her birthdays by her 18th birthday is $475

Amount given to her on her first birthday = $50

Additional amount given to her each year = $25

number of years, n = 18

a1 = $50

d = $25

n = 18

Sum = a1 + (n - 1)d

= 50 + (18 - 1)25

= 50 + (17)25

= 50 + 425

= 475

sum = $475

Read more:

https://brainly.com/question/24321873

Answer:

Scientific notation is a way of expressing, and handling, a mathematical expression used to represent a decimal number between 1 and 10 (multiplied by ten), so large numbers can be made with using less digits. An example would be writing 4 x 10³ for 4,000.

Step-by-step explanation:

Answer:

Your answer would equal the same on the other side.

-26-4m=-4m-26

if you minus 26 from both sides youll have -4m on both sides also. So it would equal. So you have an Equaled equation if that makes sense.

Answer:

[tex](x-h)^{2} + (y-k)^{2} = r^{2}[/tex]

Step-by-step explanation:

Answer: do you mean simplified because if so that is the lowest it will go but in percentage form it is 15.79%

Step-by-step explanation:

Answer:

  [tex]-\dfrac{5\sqrt{11}}{11}[/tex]

Step-by-step explanation:

Use the relationship between the various trig functions.

  [tex]\tan{\theta}=\dfrac{\sin{\theta}}{\cos{\theta}}=\dfrac{\left(-\dfrac{5}{6}\right)}{\left(\dfrac{\sqrt{11}}{6}\right)}=-\dfrac{5}{\sqrt{11}}\\\\=-\dfrac{5}{\sqrt{11}}\cdot\dfrac{\sqrt{11}}{\sqrt{11}}=\boxed{-\dfrac{5\sqrt{11}}{11}}[/tex]

The answer is B (1/a)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{25 \: units}}}}}[/tex]

Step-by-step explanation:

Let M ( 9 , -5 ) be ( x₁ , y₁ ) and N ( - 11 , 10 ) be ( x₂ , y₂ )

Finding the distance between these points

[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {( - 11 - 9)}^{2} + {(10 - ( - 5))}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(10 + 5)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(15)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{400 + 225}}} [/tex]

[tex] \longrightarrow{ \sf{ \sqrt{625}}} [/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {(25)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{25 \: units}}[/tex]

Hope I helped!

Best regards! :D

Answer:

its equal

Step-by-step explanation:

Answer:

Since 13/20 is exactly 0.65, then 0.6565656565......(repeating) is greater than 13/20.

Answer:

64

Step-by-step explanation:

16+16 on the 2 big sides

then 8x4=32

32+32

64 is ur answer

2*3n  would be the equation.

Answer:

No, i cant

Step-by-step explanation:

Answer:

800

Step-by-step explanation:

Greetings from Brasil...

The coefficient a in a linear function (or even a modular function) implies the slope of the function line. The higher the value of a, the greater the slope of the line. the lower the value of a, the lower the slope of the line

Step-by-step explanation:

Note: It is not given that, 1 cm represents 2m

The bench area on an actual basketball court is 9 meters long.

We need to find how long should the bench be on the scale drawing. Since 1 cm represents 2m. It means 1 m represents 0.5 cm

9 meters will represent,

[tex]\dfrac{9}{0.5}\ cm\\\\=18\ cm[/tex]

Hence, the bench is 18 cm long.

Hope it helped

Answer: c=7

Step-by-step explanation:

8c = 56  Divide both sides by 8

[tex]\frac{8}{8}c = \frac{56}{8}[/tex]  

c = 7

Answer: 3/8

Step-by-step explanation:

24 min to 64 min as a fraction is [tex]\frac{24}{64}[/tex]    

Now write the fraction is simplest form  by dividing it by their greatest factor.

The GCF of 24 and 64 is 8  

24/8 = 3

64 /8 = 8    

So the ratio will be 3/8

Answer:

i wanna say its C,D,E,F but i get rational and irrational mixed u0

Answer:

96 square meters

Answer:

if y is the normal number of sweets then the normal number plus 40 percentage equals 42

y+4y=42

1.4y=42

y=42/1.4=30

hope this helps!

please mark me as the brainiest answer and please follow me for more answers.

Answer:

Horizontal line which goes through the y -axis at the coordinate ( 0, C/A ).

Step-by-step explanation:

Since A is not 0 then C can not be 0 This is a logical deduction from the given formula Ay = C

The equation of any line is y = ax + b, where a is the incline and b is the intercept between the line and the y- axis.

Ay = C

Divide left and right of the = sign by A and you get:

y = C/A

This is the formula for a horizontal line which goes through the y -axis at the coordinate ( 0, C/A ).

Because it is a horizontal line it has an incline of 0.

So a = 0

y = ax + b

a = 0 and b = C/A

y = 0*x + C/A

y = 0 + C/A

y = C/A

Answer:

0.29

Step-by-step explanation:

0.76 - 0.32 - 0.15

= 0.76 - 0.47

= 0.29

Answer:

y=5x−z

Step-by-step explanation:

Step 1: Multiply both sides by y.

xy−5=yz

Step 2: Add -yz to both sides.

xy−5+−yz=yz+−yz

xy−yz−5=0

Step 3: Add 5 to both sides.

xy−yz−5+5=0+5

xy−yz=5

Step 4: Factor out variable y.

y(x−z)=5

Step 5: Divide both sides by x-z.

y(x−z)x−z=5x−z

y=5x−z

Answer:

? = -611.3

I used a calculator.

hope this helps