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insens350 [35]
3 years ago
10

Jaycee Alvarez deposits $425 in a savings account at City Bank. The account pays an annual interest rate of

Mathematics
1 answer:
Kryger [21]3 years ago
5 0

Answer: $5.84

Step-by-step explanation:

Simple interest is calculated using the formula: PRT/100

where P = principal = $425

R = rate = 5.5%

T = time = 3/12 = 1/4 = 0.25

S.I = PRT/100

= (425 × 5.5 × 0.25)/100

= $584.375/1000

= $5.84

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The formula x + y = 180 can be used to find the degrees of supplementary angles, where x is the smaller angle. Find the domain a
maks197457 [2]

Answer:

Domain : 0° < x <90°

Range: 90° < y < 180°.

Step-by-step explanation:

When we have a function:

f(x) = y

the domain is the set of the possible values of x, and the range is the set of the possible values of y.

In this case we have:

x + y = 180°

such that x < y

Let's analyze the possible values of x.

The smallest possible value of x must be larger than 0°, as we are workin with suplementary angles.

Knowing this, we can find the maximum value for y:

0° + y = 180°

y = 180° is the maximum of the range.

Then we have:

0° < x

y < 180°

To find the other extreme, we can use the other relation:

x < y.

Then, we can impose that x = y (this value will not be either in the range nor the domain)

if x = y then:

x + y = x + x = 180

2*x = 180

x = 90°

This will be the maximum of the domain and the minimum of the range.

Then we have that the domain is:

0° < x <90°

And the range is:

90° < y < 180°.

5 0
3 years ago
Save me the headache
maxonik [38]

(9\sin2x+9\cos2x)^2=81

Taking the square root of both sides gives two possible cases,

9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1

or

9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

If \alpha=2x and \beta=\dfrac\pi4, we have

\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}

so in the equations above, we can write

\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1

Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi

(where n is any integer)

\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi

\implies x=n\pi\text{ or }\dfrac\pi4+n\pi

and in the second,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi

\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi

\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi

Then the solutions that fall in the interval [0,2\pi) are

x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4

5 0
3 years ago
Read 2 more answers
Tony wants to buy 2.3 pounds of dried berries and 2.6 pounds of trail mix. How much will he spend?
AURORKA [14]
How much dose it cost per pound?
3 0
2 years ago
If 3 oranges and 4 apples cost $14 and 5 oranges and 2 apple cost $21. find the value of 2 oranges and 3 apples.
Semmy [17]

Answer:

$18

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP ME IM HONESTY SO CONFUSED WITH THE ANSWERS GIVEN
Drupady [299]

Answer:

C. The sum of 18 and half the product of 9 and 4.

8 0
1 year ago
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