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RideAnS [48]
3 years ago
12

What is the opposite of 1/4

Mathematics
1 answer:
nirvana33 [79]3 years ago
8 0

Answer:

  1. opposite number of 1/4=-1/4

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Emma invested $41,000 in an account paying an interest rate of 2.6% compounded monthly. Assuming no deposits or withdrawals are
kvasek [131]

Answer: it will take 7 years for the value of the account to reach $49,300

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $41000

A = $49300

r = 2.6% = 2.6/100 = 0.026

n = 12 because it was compounded 12 times in a year.

Therefore,

49300 = 41000(1 + 0.026/12)^12 × t

49300/41000 = (1 + 0.0022)^12t

1.2024 = (1.0022)^12t

Taking log of both sides of the equation, it becomes

Log 1.2024 = 12t × log 1.0022

0.08 = 12 × 0.00095 = 0.0114t

t = 0.08/0.0114

t = 7 years

8 0
3 years ago
Helllllppp please asap
BartSMP [9]

Answer:

1). a = 9.42 m

2). b = 6.37 m

3). c = 4.48 m

Step-by-step explanation:

In the figure attached,

By applying tangent rule in triangle ADE,

tan47 = \frac{h}{c}

c = \frac{h}{\text{tan}47}

c = \frac{4.8}{\text{tan}47}

c = 4.476

c ≈ 4.48 m

Now we apply the same rule in triangle ACE,

tan37° = \frac{h}{b}

b = \frac{h}{\text{tan}37}

b = \frac{4.8}{1.0724}

b = 6.37 m

Now apply the tangent in triangle ABE,

tan27° = \frac{h}{a}

a = \frac{h}{\text{tan}27}

a = \frac{4.8}{0.5095}

a = 9.42 m

5 0
3 years ago
Multiply (3x-7)(2x^2-8x+3)
xxTIMURxx [149]

Answer:

6x^3-38x^2+65x-21

Step-by-step explanation:

4 0
4 years ago
What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C
butalik [34]

ANSWER

10C_5(2)^{5}( - 3)^5

EXPLANATION

The given binomial expansion is:

{(2x - 3y)}^{10}

Compare this to

{(a + b)}^{n}

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

{x}^{5}  {y}^{5}

This implies that, r=5.

The terms in the expansion can be obtained using

T_{r+1}=nC_ra^{n-r}b^r

We substitute the given values to obtain;

T_{5+1}=10C_5(2x)^{10-5}(  - 3y)^5

T_{6}=10C_5(2x)^{5}(3y)^5

T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

Hence the coefficient is;

10C_5(2)^{5}( - 3)^5

5 0
3 years ago
Read 2 more answers
A semi circle shaped rug has a diameter of 2 feet what is the area of the rug
Hitman42 [59]
For the full circle, Area = pi(r)^2
pi x 1^2 = pi 
Semi circle = pi/2 = 1.57 square feet
3 0
3 years ago
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