What is twenty six times thirty seven

Mathematics

1 answer:

insens350 [35]2 years ago

6 0

Twenty six times thirty seven is 962

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A circle is centered on point b . Points a,c, and d lie on its circumference . If adc measure 61 then what does abc measure.

Elis [28]

Answer:

$\angle ABC = 122^\circ$

Step-by-step explanation:

Given

$\angle ADC = 61^\circ$

<em>See attachment for circle</em>

Required

Find $\angle ABC$

From the attachment, we can see that:

$\angle ADC$ is at the circumference

$\angle ABC\\$ is in at the center

From cyclic theorems,

The relationship between ABC and ADC is:

$\angle ADC = \frac{1}{2} * \angle ABC$

Make ABC the subject

$\angle ABC = 2 * \angle ADC$

Substitute: $\angle ADC = 61^\circ$

$\angle ABC = 2 * 61^\circ$

$\angle ABC = 122^\circ$

4 0

2 years ago

A car, originally valued at 70,000 in 2006 depreciates exponentially at a rate of 4% each year. Round the expected value of the

lora16 [44]

Answer:

$42,890

Step-by-step explanation:

The standard form for an exponential equation is

$y=a(b)^x$

where a is the initial amount value and b is the growth rate or decay rate and t is the time in years. Since we are dealing with money amounts AND this is a decay problem, we can rewrite accordingly:

$A(t)=a(1-r)^t$

where A(t) is the amount after the depreciation occurs, r is the interest rate in decimal form, and t is the time in years. We know the initial amount (70,000) and the interest rate (.04), but we need to figure out what t is. If the car was bought in 2006 and we want its value in 2018, a total o 12 years has gone by. Therefore, our equation becomes:

$A(t)=70,000(1-.04)^{12}$ or, after some simplification: