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levacccp [35]
3 years ago
15

20 POINTS! Please help, best answer will recessive brainliest answer points as well as 5 stars and a thank you. :)

Mathematics
1 answer:
Vitek1552 [10]3 years ago
6 0

Answer:

3): 14

Step-by-step explanation:

The problem states that ABC and DEF are similar. Therefore, dsue to similar triangles, we have 7x/7=4/x, so x^2=4. Therefore, x=2 (because x cannot be negative). Therefore, AB = 7x = 7*2=14

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Suppose that $3000 is placed in an account that pays 16% interest compounded each year. Assume that no withdrawals are made from
Papessa [141]

Answer:

a) $3480

b) $4036.8

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Suppose that $3000 is placed in an account that pays 16% interest compounded each year.

This means, respectively, that P = 3000, r = 0.16, n = 1

So

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 3000(1 + \frac{0.16}{1})^{t}

A(t) = 3000(1.16)^{t}

(a) Find the amount in the account at the end of 1 year.

This is A(1).

A(t) = 3000(1.16)^{t}

A(1) = 3000(1.16)^{1} = 3480

(b) Find the amount in the account at the end of 2 years.

This is A(2).

A(2) = 3000(1.16)^{2} = 4036.8

4 0
3 years ago
How many students in the marching band are girls
Hoochie [10]

Answer:

Hello,

If 7/10 boys represent 28 boys so, 3/10 girls ? how many girls ?

cross product

7/10 > 28

3/10 > ?

3/10*28/(7/10)=12

There are 12 girls


Step-by-step explanation:


3 0
4 years ago
A direct function of Gene is?
uranmaximum [27]
It is called proteins
5 0
3 years ago
Monique runs 1/4 mile five times a week. How many miles does she run each week?
Hoochie [10]

Answer:

1 and 1/4 of a mile each week

Step-by-step explanation:

6 0
3 years ago
4x^2+2xy-10y^2+9=0 what is the value of a,b,c and the discriminant?
zavuch27 [327]

basically you treat y like a number and not a variable

Answer:

a is 4

b is 2y

c is -10y²+9

discriminant is 4(41y²-36)

Step-by-step explanation:

4x²+2xy-10y²+9=0

rewrite in standard form of a quadratic equation like ax² + bx + c = 0

4x²+2yx-10y²+9=0

basically you treat y like a number and not a variable

a is the number with the x²

right away we know a is 4 because of 4x²

b is the one with x so in this formula b is 2y

c is the number without the x which in this case is -10y²+9

discriminant is

b² - 4ac

(2y)²- (4)(4)(-10y²+9)

4y²-(16)(-10y²+9)

4y²-(16)(-10y²+9)

4y²+160y²-144

164y²-144 =

4(41y²-36)

6 0
2 years ago
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