Which situation could be solved using the equation-4+4=0

V= u + at<br> u= 2<br> a = -5<br> t = 1 글<br> Work out the value of v.

Maksim231197 [3]

Answer:

v = - 3

Step-by-step explanation:

Given

v = u + at ← substitute u = 2, a = - 5, t = 1 into the expression

v = 2 + (- 5 × 1) = 2 + (- 5) = 2 - 5 = - 3

5 0

3 years ago

Suppose Brianna invests $1,300 each year for 5 years, in an annuity that pays 6% annual interest, compounded annually. What perc

love history [14]

Answer:

74.73%

Step-by-step explanation:

First, we're gonna find out her total amount

We're gonna use the count interest formula: P = A(1 + r)ⁿ

P = final amount

A = starting amount (1300)

r = rate (0.06)

n = years (5)

P = 1300(1 + 0.06)⁵

P = 1739.693251

Now divide the starting amount by the total amount

1300 ÷ 1739.693251 = 0.7472582

7 0

2 years ago

Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin9t,sin6t,9t⟩,r(0)=⟨4,6,3⟩

klemol [59]

$\mathbf r'(t)=\langle\sin9t,\sin6t,9t\rangle$

$\mathbf r(t)=\displaystyle\int\mathbf r'(t)\,\mathrm dt$

$\mathbf r(t)=\left\langle\displaystyle\int\sin9t\,\mathrm dt,\int\sin6t\,\mathrm dt,\int9t\,\mathrm dt\right\rangle$

$\displaystyle\int\sin9t\,\mathrm dt=\frac19\cos9t+C_1$

$\displaystyle\int\sin6t\,\mathrm dt=\frac16\cos6t+C_2$

$\displaystyle\int9t\,\mathrm dt=\frac92t^2+C_3$

With the initial condition $\mathbf r(0)=\langle4,6,3\rangle$ , we find

$\dfrac19\cos0+C_1=4\implies C_1=\dfrac{35}9$

$\dfrac16\cos0+C_2=6\implies C_2=\dfrac{35}6$

$\dfrac92\cdot0^2+C_3=3\implies C_3=3$

So the particular solution to the IVP is

$\mathbf r(t)=\left\langle\dfrac19\cos9t+\dfrac{35}9,\dfrac16\cos6t+\dfrac{35}6,\dfrac92t^2+3\right\rangle$

4 0

3 years ago

$13,168is invested, part at 13%and the rest at

Kryger [21]

Answer: the amount invested at 13% is $9748

the amount invested at 5% is $3420

Step-by-step explanation:

Let x represent the amount invested at 13%.

Let y represent the amount invested at 5%.

$13,168 is invested, part at 13 % and the rest at 5%. This means that

x + y = 13168

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering the amount invested at 13%,

P = x

R = 13%

T =1 year

I = (x × 13 × 1)/100 = 0.13x

Considering the amount invested at 5%,

P = y

R = 5%

T = 1 year

I = (x × 5 × 1)/100 = 0.05y

If the interest earned from the amount invested at

13% exceeds the interest earned from the amount invested at

5% by $1438.24, it means that

0.13x - 0.05y = 1438.24 - - -- - - - - -1

Substituting x = 13168 - y into equation 1, it becomes

0.13(13168 - y) - 0.05y = 1438.24

1711.84 - 0.13y - 0.05y = 1438.24

- 0.13y - 0.05y = 1438.24 - 1711.84

- 0.08y = - 273.6

y = - 273.6/- 0.08

y = 3420

x = 13168 - y = 13168 - 3420

x = 9748

7 0

3 years ago

Hi does anyone know this it is important please help me due tonight i will do anything

Inessa [10]

Answer:

$20

Step-by-step explanation:

Total cost of items bought

= $31.21 +$12.75 +$13.25

= $57.21

Remaining cost after paying $40

= $57.21 -$40

= $17.21

Amount borrowed

= change +$17.21

= $2.79 +$17.21

= $20

4 0

2 years ago

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