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Mathematics

2 answers:

just olya [345]2 years ago

8 0

Answer: it’s b, f(x)=54(2/3)^x-1

Step-by-step explanation:

tatyana61 [14]2 years ago

4 0

Answer:

B.)f(x) = 54[2/3]^x-1

Step-by-step explanation:

Just did the assignment in E D G E N U I T Y -2020

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In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a

UNO [17]

Answer:

T = - 7.5 Cos π/12( t - 4 ) + 10.5

Step-by-step explanation:

Given that the

Maximum temp. = 18 degree Celsius

Minimum temp. = 3 degree Celsius

The half way between 10 am and 10 pm is 4 am

The sine and cosine functions can be used to model fluctuations in temperature data through out the year. An equation that can be used to model these data is of the form:

T = A cos B(t - C) + D, where A,B,C,D, are constants, T is the temperature in °C and t is the hour (1–24)

A = amplitude = (Tmax - Tmin)/2

A = (3 - 18)/2 = - 15/2 = -7.5 ( note : after midnight)

B = 2π/24 = π/12

C = units translated to the right

C = 4

D = ymin + amplitude = units translated up

D = 7.5 + 3 = 10.5

The formula of the trigonometric function that models the temperature T in Johannesburg t hours after midnight we be

T = - 7.5 Cos π/12( t - 4 ) + 10.5

3 0

2 years ago

Anna’s bank gives her a loan with a stated interest rate of 10.22%. How much greater will Anna’s effective interest rate be if t

nata0808 [166]

If the interest rate is compounded daily, we have the effective interest rate calculated as:
r = (1 + 0.1022/30)^30 -1
r = 0.1074 or 10.74%

Therefore, the effective interest rate if the compounded daily rather than monthly is 10.74-10.22 = 0.52 points higher.

8 0

2 years ago

A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts. About 15.4% of the mixed nuts in a batch ar

Elan Coil [88]

Answer:

500 lb

Step-by-step explanation:

You have to make a proportion:

$\frac{part}{whole} = \frac{percent}{100}$