What is (f *g)(x)? f(x) = x^4 - 9 g(x)= x^3 +9 (f *g)(x) = ??

the interest on an investment varies directly as the rate of of interest. if interest is $47 when interst rate is 5% find the in

NNADVOKAT [17]

Answer:

The interest when rate is 5.2% is $48.88

Step-by-step explanation:

if interest (I) varies directly as interest rate (R)

Then

I ∝ R

I=cR

c= constant

if interest is $47 when interest rate is 5%

47 =.05c

c = 940

if interest rate is 5.2% then

I = 940 x .052

=48.88

=$48.88

7 0

3 years ago

Answer ASAP, Will give brainliest

erastova [34]

Answer:

Step-by-step explanation:

1) ABCD is a trapezium. AB ║ CD

∠ADC + ∠DAB = 180° { Co interior angles}

110° + ∠DAB = 180

∠DAB = 180 -110

∠DAB = 70°

2) Sum of all angles of trapezium = 360°

∠A + ∠B + ∠DCB + ∠D = 360

70° + 50° + ∠DCB + 110° = 360

230 + ∠DCB = 360

∠DCB = 360 - 230

∠DCB = 130°

3) For finding the height, use Pythagorean theorem

height² + base² = hypotenuse²

height² + 6² = 10²

height² + 36 =100

height² = 100 - 36

height² = 64

height = √64

height = 8 m

4) a = AB = x m

b = 9 m

h = height = 8 m

Area of trapezium = 120 m²

$\frac{(a+b)*h}{2}\\\\$ = 120

$\frac{(x+9)*8}{2} =120\\\\\\(x +9)*4 = 120$

x + 9 = 120/4

x + 9 = 30

x = 30 - 9

x = 21 m

AB = 21m

7 0

3 years ago

Can you Graph the image A(4,-1) after a translation 7 units up?

rusak2 [61]

(4,6) is the correct answer

4 0

2 years ago

Write the expressions "Four times the difference of a number and 7 is 32", "One third of a number is 12 less than the number its

Anna71 [15]

Part 1) "Four times the difference of a number and $7$ is $32$ "

Let

x--------> the number

we know that

the expressions is equal to

$4(x-7)=32$

therefore

the answer part 1) is

$4(x-7)=32$

Part 2) "One third of a number is $12$ less than the number itself"

Let

x--------> the number

we know that

the expressions is equal to

$\frac{1}{3} x=(x-12 )$

therefore

the answer part 2) is

$\frac{1}{3} x=(x-12 )$

Part 3) "Ten increased by the quotient of a number and $2$ is $-15$ "

Let

x---------> the number

we know that

the expressions is equal to

$10+ (\frac{x}{2} )= -15$

therefore

the answer Part 3) is

$10+ (\frac{x}{2} )= -15$

Part 4) "One less than the product of a number and $3$ is $5$ more than the number itself"

Let

x---------> the number

we know that

the expressions is equal to

$(3x)-1=5+x$

therefore

the answer Part 4) is

$(3x)-1=5+x$

3 0

3 years ago

Read 2 more answers

A group of 33 people attended a ball game. There were twice as many children as adults in the group. Set up a system of equation

hoa [83]

Answer:

1.2a+a=33

2.3a=33

3.a=11

Step-by-step explanation:

4 0

3 years ago