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3 years ago

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Use the table above to find the yearly premiums in each of the following cases. Emily Ruth Webster is twenty-seven. She is purch

asing twenty-year endowment insurance, with a face value of $25,000. What is her annual premium?

1 answer:

balu736 [363]3 years ago

5 0

Emily is a girl, table shows for males. It says there "For females, use the age of a male 3 years younger", so 27 - 3 = 24 <-- look at the table for this value on the 20- year endowment. You'll have 42.34 annual premia per 1000 FV <span>your questions asks for the $25000 Face Value, so just multiply 42.34 to 25 000 and you should get $1 058.5</span>

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What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!

Delicious77 [7]

ANSWER
$f(x)= \frac{1}{4} {(x - 1)}^{2}$

EXPLANATION

Since the directrix is
$y = - 1$

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

$(1,1)$

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

${(x - h)}^{2} = 4p(y - k)$
where
$(h,k)$

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
$(1, - 1)$

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
$h = \frac{1 + 1}{2} = 1$

and
$k = \frac{ - 1 + 1}{2} = 0$

The equation of the parabola now becomes,

$(x - 1) ^{2} = 4p(y - 0)$

$|p| = 1$

Thus, the distance between the vertex and the directrix.

This means that,

$p = - 1 \: or \: 1$

Since the parabola opens up, we choose
$p = 1$
Our equation now becomes,

${(x - 1)}^{2} = 4(1)(y - 0)$

This simplifies to
${(x - 1)}^{2} = 4y$

or

$y = \frac{1}{4} {(x - 1)}^{2}$

This is the same as,

$f(x)= \frac{1}{4} {(x - 1)}^{2}$

The correct answer is D .

4 0

3 years ago

Find the value of Y helpppp

DIA [1.3K]

Answer:

y = 4

Step-by-step explanation:

Both the triangles are congruent by SSS postulate.

Therefore,

$4y + 8 = 24 \\ (corresponding \: sides \: of \: \\ congruent \: \triangle s) \\ 4y = 24 - 8 \\ \\ 4y = 16 \\ \\ y = \frac{16}{4} \\ \\ y = 4$

3 0

3 years ago

What does 4f-2f + 3-f= equal

lidiya [134]

Answer:

f + 3

Step-by-step explanation:

Combine like-terms

4f - 2f - f +3

f + 3

7 0

3 years ago

Read 2 more answers

Please help with this question if you don't know the answer please don't answer show your work and I am gonna Mark you as a brai

Aleks04 [339]

<u>Solution</u>:

<em>7/(-2.5 + 8.5) + {0.6 (8 + 13)}/-0.2</em>

= 7/6 + (12.6/-0.2)

= 7/6 - 63

= (7 - 378)/6

= -371/6

<em>(OR)</em>

= 61.8333... <em>(Decimal representation of -371/6 is non-terminating & recurring)</em>

7 0

3 years ago

The radioactive substance uranium-240 has a half-life of 14 hours. The amount

k0ka [10]

<h2>Answer:</h2>

See analyris

<h2>Step-by-step explanation:</h2>

$Hlug\ in\ the\ value\ of \left.\ t.\right\}$

$The\ infital\ ampunt\ in\ the\ sample:$

$t=0_{-1}\ \ \ \ \ f(t)=39\omega\bullet(\frac{1}{2})^\frac{0}{14}$

$=3900\ g.$

$Ater\ bo\ busis.$

$t=6,\ \ \ \ \ A(t)=2900\times(\frac{1}{2})^\frac{60}{14}$

$=3900\times(\frac{1}{2})^\frac{30}{7}$

$\approx 209.$

<em>I hope this helps you</em>

<em>:)</em>

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3 years ago