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Dimas [21]
4 years ago
8

Sibal started with $500 in a bank account that does not earn interest. In the middle of every month, she withdraws 1/5 of the ac

count balance.   
Which recursive function rule models Sibal’s balance at the end of each month?
Mathematics
1 answer:
GalinKa [24]4 years ago
5 0
4/5 of the original amount at the start of the month will remain. The amount at the start of every month will change. Thus:
an = 4/5 (an-1) ; where a1 = 500.
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Three-fourths was subtracted from a number, and then 5/4 was added to the result. The sum was -7.
Rasek [7]

Hi there!

Let's start by replacing "a number" by the letter "x" so that we can do an equation and isolate "x" to find your answer :

(x - \frac{3}{4}) + \frac{5}{4} = -7

subtract \frac{5}{4} on each side of the equation


x - \frac{3}{4} = -8.25

add \frac{3}{4} on each side of the equation

x = -7.5


-7.5 - 3/4 = -8.25

-8.25 + 5/4 = <u>-7</u>


So your answer is : Three-fourths was subtracted from -7.5, and then 5/4 was added to the result. The sum was -7.


There you go! I really hope this helped, if there's anything just let me know! :)



7 0
3 years ago
Find the values of x and y using trig
Natasha_Volkova [10]

Answer:

Step-by-step explanation:

The triangle is a right angle triangle. This is because one of its angles is 90 degrees.

Let us determine x

Taking 47 degrees as the reference angle,

x = adjacent side

11 = hypotenuse

Applying trigonometric ratio,

Cos # = adjacent side / hypotenuse

# = 47 degrees

Cos 47 = x/11

x = 11cos47

x = 11 × 0.6820

x = 7.502

Let us determine y

Taking 47 degrees as the reference angle,

y = opposite side

11 = hypotenuse

Applying trigonometric ratio,

Sin # = opposite side / hypotenuse

# = 47 degrees

Sin 47 = y/11

x = 11Sin47

x = 11 × 0.7314

x = 8.0454

7 0
3 years ago
Gianna drove 176 miles in 8 hours. On average, how fast did she drive in miles per hour? Express your answer in simplest form.
vesna_86 [32]

Answer:

22

Step-by-step explanation:

178 divide by 8   = 22

4 0
3 years ago
Explain how to find the vertex of 2x^2+12x+16
Elina [12.6K]

The vertex form:

y=a(x-h)^2+k\\\\(h,\ k)-vertex

Use (a+b)^2=a^2+2ab+b^2\qquad(*)


2x^2+12x+16=2(x^2+6x)+16=2(x^2+2(x)(3))+16\\\\=2(\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2)+16=2((x+3)^2-9)+16\\\\=2(x+3)^2+(2)(-9)+16=2(x+3)^2-18+16\\\\=\boxed{2(x-(-3))^2-2}\to h=-3,\ k=-2

<h3>Answer: (-3, -2).</h3>

Other method:

f(x)=ax^2+bx+c\\\\vertex:(h,\ k)\\\\h=\dfrac{-b}{2a},\ k=f(h)

We have

f(x)=2x^2+12x+16\\\\a=2,\ b=12,\ c=16

Substitute:

h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+16=2(9)-36+16=18-36+16=-2

<h3>Answer: (-3, -2).</h3>
5 0
4 years ago
Use the graphs to estimate both solutions to x^2+x-4=0
Bogdan [553]

Answer:

No graph so we'll use the quadratic formula

x^2+x-4=0

a = 1

b = 1

c = -4

x = -1 +- sqr root (1^2 - 4 * 1 * -4) / 2

x = (-1 +- sqr root (1 +16) ) / 2

x1 = (-1 + sqr root (17)) / 2

x2 = (-1 - sqr root (17)) / 2

Step-by-step explanation:

4 0
3 years ago
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