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2 years ago

Karina needs a total of $45 to buy her mother a birthday present. She has saved 20% of the amount so far. How much has she saved

Mathematics

2 answers:

dsp732 years ago

6 0

Answer:

i believe the answer to this question is that karina has saved $9.00

Step-by-step explanation:

CaHeK987 [17]2 years ago

4 0

Answer:

Step-by-step explanation:

20% of 45 is 9.

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Please help me with these, oh sweet jesus

Lelechka [254]

Answer:

77. $\cot^{6} x = \cot^{4} x \csc^{2}x - \cot^{4} x$ Proved

78. $\sec^{4}x \tan^{2} x = \sec^{2}x [\tan^{2}x + \tan^{4}x ]$ Proved

79. $\cos^{3} x\sin^{2} x = [\sin^{2}x - \sin^{4}x] \cos x$ Proved.

80. $\sin^{4}x - \cos^{4}x = 1 - 2\cos^{2}x + 2 \cos^{4} x$ Proved.

Step-by-step explanation:

77. Left hand side

= $\cot^{6} x$

= $\cot^{4} x \times \cot^{2} x$

= $\cot^{4}x [\csc^{2}x - 1]$

{Since we know, $\csc^{2} x - \cot^{2}x = 1$ }

= $\cot^{4} x \csc^{2}x - \cot^{4} x$

= Right hand side (Proved)

78. Left hand side

= $\sec^{4}x \tan^{2} x$

= $\sec^{2} x [1 + \tan^{2}x] \tan^{2} x$

{Since $\sec^{2}x - \tan^{2}x = 1$ }

= $\sec^{2}x [\tan^{2}x + \tan^{4}x ]$

= Right hand side (Proved)

79. Left hand side

= $\cos^{3} x\sin^{2} x$

= $\cos x[1 - \sin^{2} x] \sin^{2} x$

{Since $\sin^{2}x + \cos^{2} x = 1$ }

= $[\sin^{2}x - \sin^{4}x] \cos x$

= Right hand side

80. Left hand side

= $\sin^{4}x - \cos^{4}x$

= $[\sin^{2}x + \cos^{2}x]^{2} - 2\sin^{2} x \cos^{2}x$

{Since $\sin^{2}x + \cos^{2} x = 1$ }

= $1 - 2\cos^{2} x[1 - \cos^{2}x ]$

= $1 - 2\cos^{2}x + 2 \cos^{4} x$

= Right hand side. (Proved)

7 0

2 years ago

What number is exponent?

qwelly [4]

Answer:

Step-by-step explanation:

The base B represents the number you multiply and the exponent "x" tells you how many times you multiply the base, and you write it as "B^ x." For example, 8^3 is 8X8X8=512 where "8" is the base, "3" is the exponent and the whole expression is the power.

6 0

2 years ago

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Henry is up for retirement after 35 long years at his pharmacy. Before retiring, he would like to know how much he would receive

satela [25.4K]

To find how much Henry can expect to receive from Social Security on a monthly basis, we first need to find how much he cant expect to receive from social security per year.

We know form our problem that Henry averaged an annual salary of $45,620, so to find how much can Henry expect to receive from Social Security per year, we just need to find the 42% of $45,620.

To find the 42% of $45,620, we are going to convert 42% to a decimal by dividing it by 100%, and then we are going to multiply the resulting decimal by $45,620:

$\frac{42}{100} =0.42$

Social security annual payment = (0.42)($45,620) = $19,160.40

Since there are 12 month in a year, we just need to divided the social security annual payment by 12 to find how much he can expect to receive each month.

Social security monthly payment = $\frac{19,160.40}{12}$ = $1.596.70