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3 years ago

Write the first 4 terms for f (1) = 3, f (n) = [f(n-1)]

1 answer:

4 0

$f(1)=3\\\\f(n)=[f(n-1)]\\\\f(2)=[f(2-1)]=[f(1)]=[3]=3\\\\f(3)=[f(3-1)]=[f(2)]=[3]=3\\\\f(4)=[f(4-1)]=[f(3)]=[3]=3\\\\f(5)=[f(5-1)]=[f(4)]=[3]=3$

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Regroup to express the number in a different way.

MrRissso [65]

Answer:

add 1 hundred because you put a 1 instead of a 2

but the answer is 5 tens

3 0

3 years ago

How many solutions does the system have? y=-2x -4 y=3x + 3

baherus [9]

Answer:

x=−7/5and y=−6/5

Step-by-step explanation:

Step: Substitute−2x−4foryiny=3x+3:

y=3x+3

−2x−4=3x+3

−2x−4+−3x=3x+3+−3x(Add -3x to both sides)

−5x−4=3

−5x−4+4=3+4(Add 4 to both sides)

−5x=7

−5x

−5

(Divide both sides by -5)

x=−7/5

7 0

3 years ago

Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account

Diano4ka-milaya [45]

Answer:

$\$180.55$

Step-by-step explanation:

step 1

Simple interest

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04$

substitute in the formula above

$A=2,250(1+0.04*10)$

$A=2,250(1.4)$

$A=\$3,150$

step 2

Interest compounded annually

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1$

substitute in the formula above

$A=2,250(1+\frac{0.04}{1})^{1*10}$

$A=2,250(1.04)^{10}$

$A=\$3,330.55$

step 3

Find the differences between the two final amounts

$A=\$3,330.55-\$3,150=\$180.55$

5 0

3 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

Aneli [31]

Slope of f(x)

Slope of g(x)

PART A)
The slopes of f(x) and g(x) are the same.

PART B)
The equation for line f(x)
y = 4x + b
-1 = 4(0) + b
-1 = b

y = 4x - 1

The function G(x) has a bigger y-intercept. The y-intercept of g(x) is 3, while the y-intercept of f(x) is -1.

4 0

3 years ago

What is the slope of the line??? Please help!

jeyben [28]

Answer:

slope is 1

Step-by-step explanation:

6 0

3 years ago